This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

The Bayesian methods depart from the Howard method in how releases are estimated. The Howard methods assume that the species composition of the harvests are equal to the species composition of released fish, which is clearly contraindicated in the logbook data. For instance, logbook data demonstrates that yelloweye have been retained at high levels up until restrictions were enacted in recent years, whereas pelagic rockfish were released in significant numbers in the past with retention increasing in recent years as they have become more prized by anglers. Recent prohibition on retaining yelloweye in Southeast Alaska highlights the shortcomings of the original Howard assumptions as the species composition of the harvest would indicate that no yelloweye were caught and released during the closure.

The Howard method for estimating releases for private anglers also relied on an expansion of the logbook release estimates based on the ratio of private:guided releases of all rockfish in the SWHS. In addition to the faulty assumptions about species composition, this method ignores potential bias in SWHS estimates of harvests and releases or at least assumes that the bias in release and harvests are the same. As demonstrated in Figure 1, the bias in those two quantities appears to be quite different based on the logbook data. The Bayesian model thus attempts to estimate release probabilities based on the logbook data coupled with bias corrected estimates from the SWHS.

Lastly, the Howard methods were only used on data beginning in 1999 with the advent of the logbook program and estimates of harvests and releases prior to that have been based on linear ramps from 1999 back to the perceived start of the fishery. The Bayesian methods allow us to expand the time series back to 1977 when the SWHS was implemented by leveraging regional data trends in species composition and the proportion of caught rockfish harvested by species and/or species complex. Key advantages of the Bayesian approach are highlighted in table 1.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.

Data

Harvest data was available for 22 commercial fishing management areas in Southcentral and Southeast Alaska. Areas with negligible rockfish harvest were pooled with adjacent areas for analysis. Specifically the Aleutian and Bering areas were pooled into an area labeled BSAI; the IBS and EKYT were pooled into an area labeled EKYKT; the Southeast, Southwest, SAKPEN and Chignik areas were pooled into an area labeled SOKO2PEN and the Westside and Mainland areas were pooled into an area labeled WKMA.

Stateside Harvest Survey (SWHS)

Statewide harvest survey estimates of rockfish catch and harvest are available for 28 years (1996-2023) for all users and for 13 years (2011-2023) for guided anglers (Figure 0). Additionally, there are overall harvest estimates from 1977- 1995 and release estimates from 1990-1995 that required some partitioning to ascribe to current management units. Harvests in unknown areas were apportioned based on harvest proportions in 1996. Variance estimates are not available for pre-1996 data and as such, the maximum observed coefficient of variation (cv) in each commercial fisheries management unit was applied to the pre-1996 values.

**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


SWHS estimates are believed to be biased to some degree. These modelling efforts aim to estimate and correct for that bias with the assumption that logbook records are a census of guided harvests and releases.

SWHS Rockfish release estimates are inferred from the difference between catch and harvest estimates.

Adam noted that the first 5 years (23 years counting the historical data) in the SWHS data set for PWSO seem unreasonable (close to zero and not corroborated with logbook estimates). Adam recommended setting these harvests to unknown, but current model development has included the data. Once a satisfactory model has been identified we will exam the effects of censoring the PWSO data.

Creel Surveys

NA

Guide Logbooks

Sport fishing guides have been required to report their harvest of rockfish for 26 years (1998-2023). Reported harvest is also available by assemblage (pelagic vs. non-pelagic). Harvest of yelloweye and “other” (non-pelagic, non-yelloweye) rockfish were reported separately beginning in 2006.

Logbooks also record the number of rockfish released for the same categories. However, the reliability of the release data is somewhat questionable as reported releases are generally far lower than that estimated by the SWHS. As such several treatments of the data are considered.

Logbook versus SWHS estimates

Estimates of guided harvests and releases from the SWHS do not align with the census from charter logbooks. Logbook harvest reports are generally considered reliable and are used to assess the bias in SWHS reports. However, there is even greater disparity between release estimates in the two sources and it is debatable whether logbook releases should be treated as a census. The Howard et al. (2020) methods do treat the logbook release data as “true” and thus are considerably less than would be estimated from the SWHS data.

**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


A note on model development

To evaluate the discrepancy in apparent bias in harvest and release data, several models were explored to estimate releases during model development. One method (\(LB_{fit}\)) considers the logbook release data to be reliable and a second method (\(LB_{cens}\)) treated the logbook release data as estimates of the minimum released, thus giving more weight to SWHS release estimates. A third method (\(LB_{hyb}\)) is a hybrid approach that treats reported releases of yelloweye as reliable but total rockfish and pelagic rockfish releases as minimums. Model development revealed a tension between the total and pelagic logbook releases and the yelloweye logbook releases. This tensions eventually highlighted the different release/retention probabilities between yelloweye and pelagics in the logbook data and prompted the current approach whereby that probability was calculated for the three main species complexes covered in the data: pelagics, yelloweye, and “other”. The methods described here follow the (\(LB_{fit}\)) formulation. Based on model behavior it is unlikely that the (\(LB_{cens}\)) model would work as there would not be enough data to estimate release probabilities. However, it may be worth running the (\(LB_{hyb}\)) approach as a sensitivity test at the very least.

Composition data

Harvest sampling data exists from Gulf of Alaska areas since 1996 and from Southeast Alaska areas since 2006. Port sampling data is comprised of the number of total rockfish, pelagic and non-pelagic rockfish, black rockfish and yelloweye rockfish. In Southeast Alaska, the number of Demersal Shelf Rockfish (DSR, of which yelloweye are one species) and slope rockfish are also recorded.

Process equations

The true harvest \(H_{ay}\) of rockfish for area \(a\) during year \(y\) is assumed to follow a temporal trend defined by a penalized spline:

\[\begin{equation} \textrm{log}(H_{ay})~\sim~\textrm{Normal}(f(a,y), {\sigma_H}) \end{equation}\]

where \(f(a,y)\) in a p-spline basis with 7 components (knots) and a second degree penalty. The variance, \(\sigma_H\), was given a normal prior with a mean and standard deviation of 0.25 and 1, respectively.

Charter and private harvest \(H_{ayu}\) (where u = 1 for charter anglers and u = 2 for private anglers) is a fraction of total annual harvest in each area:

\[\begin{equation} H_{ay1}~=~H_{ay}P_{(user)ay1}\\H_{ay2}~=~H_{ay}(1-P_{(user)ay1}) \end{equation}\]

where \(P_{(user)ay1}\) is the fraction of the annual harvest in each area taken by charter anglers. \(P_{(user)ay1}\) was modeled hierarchically across years as:

\[\begin{equation} P_{(user)ay1}~\sim~\textrm{beta}(\lambda1_a, \lambda2_a) \end{equation}\]

with non-informative priors on both parameters.

Annual black rockfish harvest \(H_{(black)ayu}\) for each area and user group is:

\[\begin{equation} H_{(black)ayu}~=~H_{ayu}P_{(pelagic)ayu}P_{(black|pelagic)ayu} \end{equation}\]

where \(P_{(pelagic)ayu}\) is the fraction of the annual harvest for each area and user group that was pelagic rockfish and \(P_{(black|pelagic)ayu}\) is the fraction of the annual harvest of pelagic rockfish for each area and user group that was black rockfish.

The southeast region also tracks two other non-pelagic rockfish assemblages, demersal shelf rockfish (DSR, which includes yelloweye) and slope rockfish. For the southeast region the harvest of those two assemblages is thus

\[\begin{equation} H_{(DSR)ayu}~=~H_{ayu}(1-P_{(pelagic)ayu})P_{(DSR|non-pelagic)ayu}\\ H_{(slope)ayu}~=~H_{ayu}(1-P_{(pelagic)ayu})P_{(slope|non-pelagic)ayu}\\ \end{equation}\]

where \(P_{(DSR|non-pelagic)ayu}\) and \(P_{(slope|non-pelagic)ayu}\) are the fractions of the annual harvest of non-pelagic rockfish for each area and user group that were DSR and slope rockfish, respectively.

Annual yelloweye rockfish harvest \(H_{(yelloweye)ayu}\) for each area and user group is calculated differently for central/Kodiak areas and southeast areas. For central and Kodiak areas yelloweye rockfish harvests are calculated as

\[\begin{equation} H_{(yelloweye)ayu}~=~H_{ayu}(1-P_{(pelagic)ayu})P_{(yelloweye|non-pelagic)ayu} \end{equation}\]

where \(P_{(yellow|non-pelagic)ayu}\) is the fraction of the annual harvest of non-pelagic rockfish for each area and user group that was yelloweye rockfish.

For southeast areas yelloweye harvests are a fraction of the DSR harvests such that

\[\begin{equation} H_{(yelloweye)ayu}~=~H_{(DSR)ayu}P_{(yelloweye|DSR)ayu} \end{equation}\]

The composition parameters \(P_{(comp)ayu}\), were modeled using a logistic curve that would allow hindcasting without extrapolating beyond the limit of observed values such that:

\[\begin{equation} \textrm{logit}(P_{(comp)ayu})~=~\beta0_{(comp)ayu} + \frac{\beta1_{(comp)ayu}}{(1 + exp(\beta2_{(comp)ayu}*(y - \beta3_{(comp)ayu})))} + \beta4_{(comp)ayu}*I(u=private)+re_{(comp)ayu} \end{equation}\]

where the \(\beta\) parameters define the intercept, scaling factor, slope, inflection point and private angler effect, respectively, \(y\) is the year index, \(I(u=private)\) is an index variable which is 1 when the user groups is private and 0 otherwise and \(re_{(comp)ayu}\) is a random effect with a non-informative prior. \(\beta\) parameters were modeled hierarchically by region. When \(\beta\) parameters were inestimable as a result of no discernible change in composition over the observed time period. \(\beta1\) (scaling factor) and \(\beta2\) (slope) were fixed to 0 so that the long term mean value was used for hindcasting.

The true number of released rockfish \(R_{ayu}\) were based on the proportion of the total catch harvested, \(pH_{(comp)ayu}\), by area, year, user group and species grouping. Because release data from the SWHS is for all rockfish and the release data from logbooks is only subdivided into pelagics, yelloweye and “other” (non-pelagic, non-yelloweye), we only estimated \(pH_{(comp)ayu}\) for those categories. Thus, converting \(H_{(comp)ayu}\) to total catches by user group, \(C_{(comp)ayu}\), with \(pH_{(comp)ayu}\) results in estimates of total releases such that

\[\begin{equation} R_{(comp)ayu}~=~ C_{(comp)ayu} - H_{(comp)ayu} ~=~ \frac{H_{(comp)ayu}}{pH_{(comp)ayu}} - H_{(comp)ayu} \end{equation}\]

with total releases equal to the sum of the compositional releases. For non-yelloweye DSR and Slope rockfish assemblages in Southeast Alaska \(R_{(DSR)ayu}\) and \(R_{(slope)ayu}\) were estimated from \(R_{(other)ayu}\) using the species composition data from the harvest, thus assuming that slope and DSR assemblages were caught and released at the same rates.

The proportion harvest parameters for \(pH_{(comp)ayu}\) were modeled using a logistic curve that would allow hindcasting based on trends in the data without extrapolating beyond the range of observed values such that

\[\begin{equation} \textrm{logit}(pH_{(pH)ayuc})~=~\beta0_{(pH)ayu} + \frac{\beta1_{(pH)ayuc}}{(1 + exp(\beta2_{(pH)ayuc}*(y - \beta3_{(pH)ayuc})))} + \beta4_{(pH)ayuc}*I(u=private)+re_{(pH)ayuc} \end{equation}\]

A random effect term allowed estimation during the historical period when data is available, but the curve defined by the above equation determined release estimates between 1977 and 1990. As with the compositional trends, \(\beta\) parameters were modeled hierarchically by region. When \(\beta\) parameters were inestimable as a result of no discernable change in harvest probability over the observed time period, \(\beta1\) (scaling factor) and \(\beta2\) (slope) were fixed to 0 so that the long term mean value was applied.

Release mortality (i.e., the number of released rockfish expected to die) was calculated assuming fixed mortality rates developed in each of the regions. Deep water release (DWR) devices were mandated for charter fleets in 2013 and rates were derived from CITATION. Southeast applies basic rates estimated in these studies while Southcentral and Kodiak rates were derived by using historical depth-of-release data to adjust the rates based on area and user group.

The total number of mortalities by year, area, user and species/species assemblage in numbers was calculated by summing harvests and release mortality such that

\[\begin{equation} M_{(comp)ayu}~=~ H_{(comp)ayu} + m_{R-(comp)ayu} * R_{(comp)ayu} \end{equation}\]

where \(m_{R-(comp)ayu}\) is the release mortality rate by year, area, user and species (Figure XX).

Total removals in biomass were converted using the average weight of fish from port sampling?. A minimum sample size per year of X fish was used as the cutoff for including in the data set. Weights were modeled hierarchically to estimate weights in years when data was missing. The total biomass of removals by year, area, user and species was thus

\[\begin{equation} B_{(comp)ayu}~=~ \overline{wt}_{(comp)ayu} * M_{(comp)ayu} \end{equation}\]

where \(\overline{wt}_{(comp)ayu}\) is the mean weight by species, area, user and year.

Observation equations

SWHS estimates of annual rockfish harvest \(\widehat{SWHS}_H{ay}\) were assumed to index true harvest:

\[\begin{equation} \widehat{SWHS}_H{ay}~\sim~\textrm{LogNormal}\left(\textrm{log}(H_{ay}b_{ay}), \sigma_{SWHSHay}^2\right) \end{equation}\]

where bias in the SWHS harvest estimates \(b_H{ay}\) is modeled hierarchically across years as:

\[\begin{equation} b_H{ay}~\sim~\textrm{Normal}(\mu_H{(b)a}, \sigma_H{(b)a}) \end{equation}\]

with non-informative priors on both parameters.

SWHS estimates of guided angler harvest \(\widehat{SWHS}_H{ay1}\) are related to total harvest by:

\[\begin{equation} \widehat{SWHS}_H{ay1}~\sim~\textrm{LogNormal}\left(\textrm{log}(H_{ay1}b_{ay}), \sigma_{SWHS_{ay1}}^2\right) \end{equation}\]

Reported guide logbook harvest \(\widehat{LB}_H{ay}\) is related to true harvest as:

\[\begin{equation} \widehat{LB}_H{ay}~\sim~\textrm{Poisson}(H_{ay1})\\ \widehat{LB}_H{(pelagic)ay}~\sim~\textrm{Poisson}(H_{ay1}P_{(pelagic)ay1})\\ \widehat{LB}_H{(yelloweye)ay}~\sim~\textrm{Poisson}(H_{(yelloweye)ay1})\\ \widehat{LB}_H{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(H_{(nonpel,nonye)ay1})\\ \end{equation}\]

Note that for central and Kodiak areas \(H_{(nonpel,nonye)ay1}\) is equal to the total harvest minus pelagic and yelloweye harvests. For southeast areas \(H_{(nonpel,nonye)ay1}\) is equal to the sum of the DSR and slope harvests minus yelloweye harvests.

SWHS estimates of annual rockfish releases \(\widehat{SWHS}_R{ay}\) were assumed to index true releases in a similar fashion and thus modeled similarly. As such, the release data are related to true releases just as harvests were modeled such that:

\[\begin{equation} \widehat{LB}_R{ay}~\sim~\textrm{Poisson}(R_{ay1})\\ \widehat{LB}_R{(pelagic)ay}~\sim~\textrm{Poisson}(R_{ay1}P_{(pelagic)ay1})\\ \widehat{LB}_R{(yelloweye)ay}~\sim~\textrm{Poisson}(R_{(yelloweye)ay1})\\ \widehat{LB}_R{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(R_{(nonpel,nonye)ay1})\\ \end{equation}\]

Because logbook release data is more questionable and demonstrates greater disagreement with SWHS estimates (Figure 1), a second approaches was considered that loosened the assumption that logbook releases were a census. Methods explored to develope \(LB_{hyb}\) and \(LB_{cens}\) models are detailed at the end of this section.

SWHS estimates of guided angler release \(\widehat{SWHS}_R{ay1}\) is modeled the same as harvests.

SWHS release bias was modeled independently of the harvest bias \(b_H{ay}\) such that

\[\begin{equation} b_R{ay}~\sim~\textrm{Normal}(\mu_R{(b)a}, \sigma_R{(b)a}) \end{equation}\]

where bias in the SWHS release estimates \(b_R{ay}\) is modeled hierarchically across years as:

\[\begin{equation} b_R{ay}~\sim~\textrm{Normal}(\mu_R{(b)a}, \sigma_R{(b)a}) \end{equation}\]

with non-informative priors on both parameters.

The number of pelagic rockfish sampled in harvest sampling programs \(x_{(pelagic)ayu}\) follow a binomial distribution:

\[\begin{equation} x_{(pelagic)ayu}~\sim~\textrm{Binomial}(P_{(pelagic)ayu}, N_{ayu}) \end{equation}\]

where \(N_{ayu}\) is the total number of rockfish sampled in area \(a\) during year \(y\) form user group \(u\). The number of black rockfish sampled in harvest sampling programs was thus a proportion of the pelagic harvests

\[\begin{equation} x_{(black)ayu}~\sim~\textrm{Binomial}(P_{(black)ayu}, N_{ayu}^{pel}) \end{equation}\]

Yelloweye rockfish in Southcentral and Kodiak were modeled similarly as a proportion of the total number of non-pelagics such that

\[\begin{equation} x_{(yellow_{R2})ayu}~\sim~\textrm{Binomial}(P_{(yellow_{R2})ayu}, N_{ayu}^{nonpel}) \end{equation}\]

Southeast areas have several other non-pelagic groupings such that DSR and slope rockfish are a proportion of non-pelagics

\[\begin{equation} x_{(DSR)ayu}~\sim~\textrm{Binomial}(P_{(DSR)ayu}, N_{ayu}^{nonpel}) \end{equation}\]

and

\[\begin{equation} x_{(slope)ayu}~\sim~\textrm{Binomial}(P_{(slope)ayu}, N_{ayu}^{nonpel}) \end{equation}\]

with yelloweye in southeast a proportion of the DSR harvest

\[\begin{equation} x_{(yellow_{R1})ayu}~\sim~\textrm{Binomial}(P_{(yellow_{R1})ayu}, N_{ayu}^{DSR}). \end{equation}\].

Kodiak has limited port sampling beyond the main harbors but has a robust hydroacoustic survey that is used to quantify black rockfish abundance across the management area and uses stereocameras to derive species compositions of the hydroacoustic data. This data was used as supplementary data to further inform the model to the proportion of pelagic rockfish that are black in Kodiak areas. Angler landings in Kodiak show a higher proportion of black rockfish relative to the hydroacoustic survey and thus the proportion of black rockfish in the hydroacoustic sample related to the true proportion such that

\[\begin{equation} P_{(black|pelagic)ayu}^{HA} ~\sim~ P_{(black|pelagic)ayu} + ae_{au} \end{equation}\].

where \(ae_{au}\) is the angler effect for each area and user group modeled hierarchically around a mean of 0. Predicted \(P_{(black|pelagic)ayu}^{HA}\) assumed a beta distribution such that

\[\begin{equation} P_{(black|pelagic)ayu}^{HA} ~\sim~ beta(\alpha_{HA},\beta_{HA}) \end{equation}\]

where

\[\begin{equation} \alpha_{HA} ~=~ (P_{(black|pelagic)ayu}^{HA})^2 * \frac{1 - P_{(black|pelagic)ayu}^{HA}}{\frac{var_{P_{HA}}-1}{P_{(black|pelagic)ayu}^{HA}}}, \end{equation}\]

\[\begin{equation} \beta_{HA} ~=~ (\alpha_{HA}) * \frac{1}{P_{(black|pelagic)ayu}^{HA} - 1}, \end{equation}\]

\[\begin{equation} var_{P_{HA}} ~=~ (P_{(black|pelagic)ayu}^{HA} * cvP_{(black|pelagic)ayu}^{HA})^2 \end{equation}\]

where \(cvP_{(black|pelagic)ayu}^{HA}\) is the coefficient of variation for the hydroacoustic proportions

\[\begin{equation} cvP_{(black|pelagic)ayu}^{HA} ~=~ \frac{\sqrt{varP_{(black|pelagic)ayu}^{HA}}}{P_{(black|pelagic)ayu}^{HA}} \end{equation}\]

and the variance is approximated using the XXXX method as

\[\begin{equation} varP_{(black|pelagic)ayu}^{HA} ~=~ (\frac{1}{n_{pel}})^2 * varN_{black} + (\frac{n_{black}}{n_{pel}^2}) * varN_{pel} \end{equation}\]

where \(varN_{black}\) and \(varN_{black}\) are the variance of the estimated number of black and pelagic rockfish in the hydroacoustic survey, respectively (CITATION).

The average weight of rockfish by species, user, area and year was modeled hierarchically at several levels within regions such that

\[\begin{equation} wt_{(comp)ayu} ~\sim~ Normal(wt_{(comp)au},\sigma_{wt_{(comp)au}}) ~\sim~ Normal(wt_{(comp)a},\sigma_{wt_{(comp)a}}) ~\sim~ Normal(wt_{(comp)region},\sigma_{wt_{(comp)region}}) \end{equation}\]

where region refers to Kodiak, Southcentral and Southeast. Mean weights and variance were calculated as XXX.

Alternative likelihoods for release estimates

To loosen the assumption that logbook release data are an effective census of true releases I explored models that treated logbook release estimates as a lower bound on the estimate of true releases. In a hybrid approach yelloweye and non-pelagic releases are regarded as a reliable census (given the emphasis and ease of recording these fish) but censors the pelagic and total rockfish release estimates (where censoring implies NA values) such that

\[\begin{equation} \text{censored} \widehat{LB}_R{ay}~\sim~\textrm{LogNormal}\left(\log(R_{ay}), 1\right)\text{T}\left(\widehat{LB}_R{ay}, \infty\right) \\ \text{censored} \widehat{LB}_R{(pelagic)ay}~\sim~\textrm{LogNormal}\left(\log(R_{(pelagic)ay}), 1\right)\text{T}\left(\widehat{LB}_R{(pelagic)ay}, \infty\right) \\ \widehat{LB}_R{(yelloweye)ay}~\sim~\textrm{Poisson}(R_{(yelloweye)ay1})\\ \widehat{LB}_R{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(R_{(nonpel,nonye)ay1})\\ \end{equation}\]

This model formulation failed such that there was not enough data to inform pelagic releases and the values did not seem valid. A second approach is being explored that fits the censored data using a lognormal distribution centered around the logbook release value, but also with a lower bound equal to the number of recorded releases such that

\[\begin{equation} \widehat{LB}_R{ay}~\sim~\textrm{LogNormal}\left(\log(R_{ay}), \sigma_{Ray1}^2\right)\text{T}\left(\widehat{LB}_R{ay}, \infty\right) \\ \widehat{LB}_R{(pelagic)ay}~\sim~\textrm{LogNormal}\left(\log(R_{(pelagic)ay}), \sigma_{Ray1}^2\right)\text{T}\left(\widehat{LB}_R{(pelagic)ay}, \infty\right) \\ \widehat{LB}_R{(yelloweye)ay}~\sim~\textrm{Poisson}(R_{(yelloweye)ay1})\\ \widehat{LB}_R{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(R_{(nonpel,nonye)ay1})\\ \end{equation}\]

Logbook data is assumed to be a census and as such there is no estimate of uncertainty. As of this writing, several methods are being examined for how to treat \(\sigma_{Ray1}^2\). Models are being run that attempt to allow the model to estimate \(\sigma_{Ray1}^2\) with priors. A simple model applies a uniform prior (0.1,50) to \(\sigma_{Ray1}^2\). A hierarchichal approach based on regions is also being examined whereby \(\sigma_{Ray1}^2\) is lognormally distributed around hyper priors \(\mu_{\sigma_R}\) and \(\sigma_{\sigma_R}\). Initial efforts have applied a uniform prior on \(\mu_{\sigma_R}\) between 1 and 50 and on \(\sigma_{\sigma_R}\) between 0 and 10.

Priors.

Priors range from uninformative to very informative or fixed. Priors for compositional logistic parameters are in Table 2 and proportion harvest logistic parameters are in Table 3. Until I figure out how to make a nice table in Rmarkdown, please refer to the attached spreadsheet and comp and harvp tabs.

Unresolved issues and outstanding questions:

  1. Reliability of unguided release estimates: These estimates have the least information feeding them and rely on the bias-corrected SWHS release estimates of all rockfish and the trends in release probability evident in the logbook data. The \(\beta4\) term that estimates the guided/unguided effect was given a very informative prior that tied the release probability of private anglers tightly to that of the charter fleet. The model is then trying to balance the three species complex estimates (pelagic, yelloweye and other) so that they sum to the total unguided releases estimated from the bias corrected SWHS data. For the most part this seems reasonable and appears to work, but there are certain areas where the estimates are “wonky”:

    1. Total rockfish releases more or less align with the total releases estimated with the Howard methods. Presumably, much of the discrepancy results from the substantial bias in release estimates from the SWHS. Interestingly, the logbook data indicates that the SWHS underestimates harvests but overestimates releases by a significant factor (Figure 23 and 24 below).
    2. In general, release estimates of black rockfish are substantially lower than those calculated using the Howard methods. Presumably, much of this derives from the bias correction of the SWHS release estimates.
    3. Yelloweye release estimates also differ considerably from the Howard estimates, but unlike black rockfish are sometimes lower and sometimes higher. Two areas in particular are a little head scratching. Yelloweye releases in the Kodiak Northeast area in particular are significantly lower than for guided anglers with the same pattern evident in Cook Inlet to a lesser extent. Cook Inlet yelloweye numbers are very small, so this is a sample size issue with little consequence. The cause of the Kodiak northeast estimates is not clear to me at this point, but the model estimates the proportion harvested by unguided anglers to be much lower than that of guided anglers, even with the informative prior on \(\beta4\). This must be a product of the bias corrected SWHS release estimates and how the model is partitioning that estimate into the 3 species complexes, but itis a bit a of head scratcher.
  2. Proportion guided estimates: There is not much data on this proportion prior to 2011 and it is not modeled with any sort of trend as was done for species composition and harvest proportions. With the exception of Cook Inlet and North Gulf Coast areas, there is little, if any, trend apparent in the data and perhaps this approach is the best available given the data available. However, if there are data sources somewhere that could inform this part of the model they could be incorporated.

  3. Prior choices in general need to be vetted. The priors on the logistic curves are fairly informed in an effort to achieve the desired shapes for hindcasting. Ideally, sensitivity testing would occur but the model is very slow to converge. The beta parameters on the logistic curves have required a lot of work on the priors to reach convergence.

  4. Proportion harvest estimates for non-pelagic, non-yelloweye in Kodiak WKMA: I need to adjust the prior on the inflection point, \(\beta3\), so that it is forced to occur after 2006. Right now the model is estimating inflection in two Kodiak areas before that point where there is no data to justify a shift. The current inflection is a result of the hierachichal model.

  5. Proportion pelagic in PWS and CSEO: The parameters for these particular proportions are very slow to converge. For the CSEO, the estimates of the \(\beta\) parameters are similar to the other Southeast areas, but the mixing is poor over the length of the chains. In this case I think they will ultimately converge with a very long model run and the shape of the curve in the model output looks acceptable. For the two PWS areas the model seems to struggle with the disparate proportional data from the logbook and the port sampling. There is some wandering in the chains of the \(\beta0\) and \(\beta1\) terms and spikiness in the \(\beta2\) terms. I’ve been working on constraining the hyperpriors for PWS \(beta2\). Similar to CSEO, it may just entail a very long model run to reach convergence, but the shape of the curves looks reasonable.

Next steps:

Once the model is finalized, harvest and release numbers need to be converted into biomass removals. This is a two step process where release mortality estimates are applied to the release estimates to estimate the number of released rockfish that do not survive. This is based on studies and will reflect the values that the department has been using with the Howard methods. Region 2 (both Southcentral and Kodiak) have release-at-depth estimates from a number of years that they apply across all years and then calculate mortality rates based on those estiates. Southease does not have release-at-depth data and simply applies an assumed rate based on research.

Once release mortality is calculated average weight data is applied to convert numbers to biomass. The plan is to incorporate all of this into the model to propogate uncertainty into the posteriors. However, the model already takes a long time to run and I may explore a simpler approach using the posteriors from the numbers model to speed up processing.

Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Total Biomass Removal Estimates

**Figure 13.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 13.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 14.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 14.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 15.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 16.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 17.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 18.**- Residuals from logbook harvests.

Figure 18.- Residuals from logbook harvests.


SWHS residuals

**Figure 19.**- Residuals from SWHS harvests.

Figure 19.- Residuals from SWHS harvests.



**Figure 20.**- Residual of SWHS releases.

Figure 20.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 21.**- Mean percent of harvest by charter anglers.

Figure 21.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 22.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 22.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 23.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 23.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 24.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 24.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 25.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 25.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


## NULL


## NULL

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 28.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 28.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 29.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 29.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 30.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 30.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 31.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 31.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 32.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 32.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 33.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 33.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

**Figure 35.**- Annual estimates of the percent of the sport non-pelagic, non-yelloweye releases that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023.

Figure 35.- Annual estimates of the percent of the sport non-pelagic, non-yelloweye releases that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023.



Weight Fits

**Figure 36.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 36.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 37.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 40.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 40.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


### Summary of unconverged parameters:

Table X. Unconverged parameters.

area

variable

year

user

species

Rhat

BSAI

Rb_ayu

14

1.290947

BSAI

Rb_ay

14

1.290946

BSAI

Rp_ayu

14

1.290941

BSAI

R_ayu

14

1.290941

BSAI

Rp_ay

14

1.290941

BSAI

R_ay

14

1.290941

BSAI

tau_prigui_pre

1.289847

BSAI

R_ayu

13

1.287494

BSAI

Rp_ayu

13

1.287488

BSAI

Rb_ayu

13

1.287414

BSAI

R_ay

13

1.287412

BSAI

Rp_ay

13

1.287408

BSAI

Rb_ay

13

1.287334

BSAI

Rb_ayg

14

1.285962

BSAI

Rp_ayg

14

1.285691

BSAI

R_ayg

14

1.285679

BSAI

Rb_ayg

16

1.284689

BSAI

Rp_ayg

16

1.284016

BSAI

R_ayg

16

1.284004

BSAI

Rp_ay

17

1.283335

BSAI

R_ay

17

1.283334

BSAI

R_ayu

17

1.283325

BSAI

Rp_ayu

17

1.283324

BSAI

Rb_ay

17

1.282931

BSAI

Rb_ayu

17

1.282914

BSAI

Rp_ayu

5

1.280146

BSAI

R_ayu

5

1.280146

BSAI

Rp_ay

5

1.280073

BSAI

R_ay

5

1.280073

BSAI

Rb_ayu

6

1.279488

BSAI

Rb_ay

6

1.279398

BSAI

R_ayu

6

1.278404

BSAI

Rp_ayu

6

1.278404

BSAI

Rp_ay

6

1.278313

BSAI

R_ay

6

1.278312

BSAI

Rb_ayu

5

1.276957

BSAI

Rb_ay

5

1.276866

BSAI

Ry_ayu

2

1.273407

BSAI

Ry_ay

2

1.273323

BSAI

Ro_ayg

2

1.260530

BSAI

Ry_ayg

2

1.257267

BSAI

Rb_ayu

12

1.250879

BSAI

R_ayu

12

1.250518

BSAI

Rp_ayu

12

1.250518

BSAI

Rb_ay

12

1.245437

BSAI

Rp_ay

12

1.244880

BSAI

R_ay

12

1.244817

BSAI

Rb_ayu

9

1.205455

BSAI

R_ayu

9

1.204196

BSAI

Rp_ayu

9

1.204170

BSAI

Ro_ayg

11

1.202058

BSAI

Ho_ayu

19

1.200245

BSAI

Rb_ayu

1

1.200004

BSAI

Rb_ayu

2

1.199448

BSAI

Rb_ay

9

1.198449

BSAI

R_ayu

1

1.198126

BSAI

Rp_ayu

1

1.198059

BSAI

Rp_ay

9

1.196846

BSAI

R_ay

9

1.196832

BSAI

Ho_ay

19

1.196748

BSAI

Rb_ay

1

1.195594

BSAI

R_ayu

2

1.195419

BSAI

Rp_ayu

2

1.195362

BSAI

Rp_ay

1

1.193537

BSAI

R_ay

1

1.193484

BSAI

Ry_ayg

6

1.190827

BSAI

Rb_ay

2

1.190402

BSAI

Ho_ay

18

1.190003

BSAI

Ho_ayu

18

1.188180

BSAI

Ro_ayg

13

1.187778

BSAI

Rp_ayg

13

1.186260

BSAI

Rp_ay

2

1.185961

BSAI

R_ay

2

1.185890

BSAI

R_ayg

13

1.185802

BSAI

Rb_ayu

4

1.185171

BSAI

Rp_ayu

4

1.183508

BSAI

R_ayu

4

1.183487

BSAI

Ry_ay

1

1.181479

BSAI

Ry_ayu

1

1.181378

BSAI

Rb_ayg

13

1.173597

BSAI

Ry_ayu

33

1.172459

BSAI

Ry_ay

33

1.172458

BSAI

Ry_ayg

15

1.169503

BSAI

Rb_ayg

8

1.167587

BSAI

Ro_ayu

1

1.161839

BSAI

Rb_ay

4

1.161654

BSAI

Ro_ayg

14

1.159456

BSAI

Ro_ay

13

1.159047

BSAI

Rp_ay

4

1.158867

BSAI

R_ay

4

1.158797

BSAI

Ry_ayu

4

1.158186

BSAI

Ry_ay

4

1.158106

BSAI

Rb_ayg

11

1.157904

BSAI

Ro_ay

1

1.157572

BSAI

Rp_ayu

8

1.156371

BSAI

R_ayu

8

1.156365

BSAI

Rp_ayg

11

1.155175

BSAI

R_ayg

11

1.155009

BSAI

Ho_ayu

3

1.153476

BSAI

Rp_ayg

8

1.152941

BSAI

R_ayg

8

1.152814

BSAI

Ho_ayu

4

1.149174

BSAI

Rb_ayu

8

1.148126

BSAI

Ro_ayu

20

1.147908

BSAI

Ho_ayg

8

1.147833

BSAI

Ry_ayu

29

1.147655

BSAI

Ry_ay

29

1.147619

BSAI

Ro_ayu

3

1.147157

BSAI

Ho_ay

3

1.146963

BSAI

Rb_ayg

17

1.146847

BSAI

Rp_ayg

17

1.143097

BSAI

Rp_ay

8

1.142894

BSAI

R_ay

8

1.142827

BSAI

R_ayg

17

1.142405

BSAI

Ho_ay

4

1.142187

BSAI

R_ayu

7

1.141637

BSAI

Rp_ayu

7

1.141634

BSAI

Ro_ayg

1

1.140992

BSAI

Ry_ayg

3

1.140769

BSAI

Rp_ay

7

1.140753

BSAI

R_ay

7

1.140731

BSAI

Rb_ayu

7

1.139873

BSAI

Rb_ay

7

1.139117

BSAI

Rb_ayg

15

1.136772

BSAI

Ro_ayu

9

1.134169

BSAI

Rb_ay

8

1.133840

BSAI

Ro_ay

3

1.132141

BSAI

Ry_ayu

46

1.128097

BSAI

Ry_ay

46

1.128077

BSAI

Ry_ayu

43

1.127718

BSAI

Rp_ayg

15

1.127659

BSAI

Ry_ay

43

1.127408

BSAI

R_ayg

15

1.127281

BSAI

Rb_ay

16

1.127003

BSAI

Ro_ay

9

1.125518

BSAI

Hy_ayu

29

1.124346

BSAI

Hy_ay

29

1.124167

BSAI

Ho_ayg

2

1.123964

BSAI

Rb_ayg

7

1.122688

BSAI

Ry_ayu

23

1.122463

BSAI

Ry_ay

23

1.122353

BSAI

R_ay

16

1.122168

BSAI

Rp_ay

16

1.122025

BSAI

Rp_ayg

7

1.121669

BSAI

Ho_ayg

1

1.120985

BSAI

R_ayg

7

1.120937

BSAI

Rb_ayu

11

1.120231

BSAI

Ro_ay

20

1.120170

BSAI

Ro_ayu

19

1.118486

BSAI

R_ayu

11

1.118263

BSAI

Rp_ayu

11

1.118241

BSAI

Rb_ay

11

1.117932

BSAI

Rb_ayg

3

1.116822

BSAI

R_ay

11

1.116025

BSAI

Rp_ay

11

1.116017

BSAI

Rp_ayg

3

1.114553

BSAI

R_ayg

3

1.114403

BSAI

Ro_ayu

13

1.112322

BSAI

Ho_ayu

2

1.111757

BSAI

Ry_ayg

10

1.110684

CI

Ro_ayu

11

1.275243

CI

Ro_ayu

1

1.274703

CI

Ro_ay

11

1.252042

CI

R_ayu

1

1.236631

CI

Ro_ay

1

1.197802

CI

Ro_ayu

5

1.179554

CI

Ry_ayu

14

1.169067

CI

Ro_ayu

7

1.163484

CI

R_ay

1

1.155559

CI

Ro_ay

5

1.150299

CI

R_ayu

11

1.149971

CI

Ry_ay

14

1.143350

CI

Ro_ayu

6

1.142077

CI

Ro_ayg

12

1.140865

CI

Ro_ayg

2

1.139988

CI

Ro_ayg

1

1.126174

CI

Ro_ay

8

1.125481

CI

Ro_ayu

8

1.115573

CI

Ro_ayg

4

1.113092

CI

Ro_ay

2

1.110062

CSEO

tau_prigui_pre

1.259029

EWYKT

Rdnye_ayu

46

1.256916

EWYKT

Rdnye_ay

46

1.256698

EWYKT

Bdnye_ayu

46

1.255479

EWYKT

Tdnye_ayu

46

1.255061

EWYKT

Bdnye_ay

46

1.255049

EWYKT

Tdnye_ay

46

1.254530

EWYKT

Rs_ayu

47

1.250945

EWYKT

Ts_ayu

47

1.250937

EWYKT

Rs_ay

47

1.250913

EWYKT

Ts_ay

47

1.250886

EWYKT

Ro_ay

46

1.248206

EWYKT

Ro_ayu

46

1.248188

EWYKT

Ry_ayu

45

1.241586

EWYKT

Ry_ay

45

1.241579

EWYKT

Rd_ay

45

1.239271

EWYKT

Rd_ayu

45

1.239246

EWYKT

R_ayu

45

1.238362

EWYKT

R_ay

45

1.238334

EWYKT

Ry_ayu

21

1.190223

EWYKT

tau_prigui_pre

1.165973

EWYKT

Ro_ayu

47

1.161103

EWYKT

Ro_ay

47

1.161102

EWYKT

Rdnye_ay

47

1.149851

EWYKT

Rdnye_ayu

47

1.149846

EWYKT

Tdnye_ay

47

1.149827

EWYKT

Tdnye_ayu

47

1.149824

EWYKT

Bdnye_ay

47

1.146335

EWYKT

Bdnye_ayu

47

1.146333

EWYKT

Ry_ayu

23

1.143099

EWYKT

Rs_ayu

28

1.132516

EWYKT

Ry_ayu

44

1.126927

EWYKT

Ry_ay

44

1.126866

EWYKT

Rd_ayu

44

1.125932

EWYKT

Rd_ay

44

1.125745

EWYKT

Rs_ayu

4

1.115792

EWYKT

R_ayu

44

1.113594

EWYKT

R_ay

44

1.113546

EWYKT

Rs_ayu

45

1.110643

NG

tau_prigui_pre

1.284534

NSEI

tau_prigui_pre

1.273338

NSEO

tau_prigui_pre

1.290277

NSEO

Ry_ay

45

1.167532

NSEO

Rd_ay

45

1.167523

NSEO

Ry_ayu

45

1.167357

NSEO

Rd_ayu

45

1.167310

NSEO

R_ayu

46

1.146854

NSEO

R_ay

46

1.146849

NSEO

Ry_ay

46

1.146722

NSEO

Ry_ayu

46

1.146722

NSEO

Rd_ay

46

1.146720

NSEO

Rd_ayu

46

1.146720

NSEO

R_ayu

45

1.141047

NSEO

R_ay

45

1.140966

NSEO

Rs_ayu

13

1.114824

NSEO

Rs_ayu

25

1.113092

PWSI

tau_prigui_pre

1.278889

PWSO

Ro_ayu

1

1.196902

PWSO

Ro_ay

1

1.182259

PWSO

Ro_ayu

10

1.154595

PWSO

Ro_ay

10

1.130947

PWSO

Ro_ayu

8

1.122852

PWSO

Rb_ayu

4

1.114041

PWSO

Ry_ayu

14

1.112573

SOKO2SAP

Rb_ayu

17

1.291119

SOKO2SAP

Rb_ay

17

1.291119

SOKO2SAP

Rp_ayu

17

1.291116

SOKO2SAP

R_ayu

17

1.291116

SOKO2SAP

Rp_ay

17

1.291116

SOKO2SAP

R_ay

17

1.291116

SOKO2SAP

Rb_ay

4

1.290996

SOKO2SAP

Rb_ayu

4

1.290996

SOKO2SAP

Rp_ay

4

1.290996

SOKO2SAP

R_ay

4

1.290996

SOKO2SAP

Rp_ayu

4

1.290996

SOKO2SAP

R_ayu

4

1.290996

SOKO2SAP

Rb_ay

2

1.290944

SOKO2SAP

Rb_ayu

2

1.290944

SOKO2SAP

R_ay

2

1.290943

SOKO2SAP

Rp_ay

2

1.290943

SOKO2SAP

R_ayu

2

1.290943

SOKO2SAP

Rp_ayu

2

1.290943

SOKO2SAP

Rb_ay

13

1.290897

SOKO2SAP

Rb_ayu

13

1.290897

SOKO2SAP

R_ay

13

1.290891

SOKO2SAP

Rp_ay

13

1.290891

SOKO2SAP

R_ayu

13

1.290891

SOKO2SAP

Rp_ayu

13

1.290891

SOKO2SAP

Rb_ayu

6

1.290863

SOKO2SAP

Rb_ay

6

1.290863

SOKO2SAP

R_ayu

6

1.290862

SOKO2SAP

Rp_ayu

6

1.290862

SOKO2SAP

R_ay

6

1.290862

SOKO2SAP

Rp_ay

6

1.290862

SOKO2SAP

R_ay

21

1.289769

SOKO2SAP

Rp_ay

21

1.289769

SOKO2SAP

R_ayu

21

1.289769

SOKO2SAP

Rp_ayu

21

1.289769

SOKO2SAP

Rb_ay

21

1.289659

SOKO2SAP

Rb_ayu

21

1.289658

SOKO2SAP

R_ay

8

1.286809

SOKO2SAP

Rp_ay

8

1.286809

SOKO2SAP

R_ayu

8

1.286809

SOKO2SAP

Rp_ayu

8

1.286809

SOKO2SAP

Rb_ay

8

1.286665

SOKO2SAP

Rb_ayu

8

1.286665

SOKO2SAP

tau_prigui_pre

1.286316

SOKO2SAP

R_ayu

18

1.268560

SOKO2SAP

Rp_ayu

18

1.268559

SOKO2SAP

R_ay

18

1.268555

SOKO2SAP

Rp_ay

18

1.268554

SOKO2SAP

Rb_ayu

18

1.267613

SOKO2SAP

Rb_ay

18

1.267608

SOKO2SAP

Rb_ayu

20

1.265726

SOKO2SAP

Rb_ay

20

1.265722

SOKO2SAP

R_ayu

20

1.265389

SOKO2SAP

Rp_ayu

20

1.265388

SOKO2SAP

R_ay

20

1.265384

SOKO2SAP

Rp_ay

20

1.265384

SOKO2SAP

Rp_ayg

7

1.235165

SOKO2SAP

R_ayg

7

1.234773

SOKO2SAP

Rb_ayu

16

1.232561

SOKO2SAP

Rb_ay

16

1.232561

SOKO2SAP

R_ayu

16

1.230238

SOKO2SAP

Rp_ayu

16

1.230238

SOKO2SAP

R_ay

16

1.230238

SOKO2SAP

Rp_ay

16

1.230238

SOKO2SAP

Rb_ayg

7

1.227552

SOKO2SAP

R_ayu

19

1.226033

SOKO2SAP

Rp_ayu

19

1.226033

SOKO2SAP

R_ay

19

1.226031

SOKO2SAP

Rp_ay

19

1.226030

SOKO2SAP

Rb_ayu

19

1.225751

SOKO2SAP

Rb_ay

19

1.225748

SOKO2SAP

R_ayu

1

1.223833

SOKO2SAP

Rp_ayu

1

1.223833

SOKO2SAP

R_ay

1

1.223833

SOKO2SAP

Rp_ay

1

1.223833

SOKO2SAP

Rb_ay

1

1.219845

SOKO2SAP

Rb_ayu

1

1.219845

SOKO2SAP

Rb_ay

14

1.208746

SOKO2SAP

Rb_ayu

14

1.208746

SOKO2SAP

R_ayu

14

1.208312

SOKO2SAP

R_ay

14

1.208312

SOKO2SAP

Rp_ayu

14

1.208312

SOKO2SAP

Rp_ay

14

1.208312

SOKO2SAP

Rb_ayu

11

1.193089

SOKO2SAP

Rb_ay

11

1.193089

SOKO2SAP

R_ayu

11

1.191003

SOKO2SAP

Rp_ayu

11

1.191003

SOKO2SAP

R_ay

11

1.191002

SOKO2SAP

Rp_ay

11

1.191002

SOKO2SAP

Ry_ayg

18

1.170970

SOKO2SAP

Ry_ayu

26

1.157818

SOKO2SAP

Ry_ay

26

1.157730

SOKO2SAP

Rb_ayu

7

1.157541

SOKO2SAP

Rb_ay

7

1.157541

SOKO2SAP

R_ayu

7

1.156111

SOKO2SAP

Rp_ayu

7

1.156111

SOKO2SAP

R_ay

7

1.156111

SOKO2SAP

Rp_ay

7

1.156111

SOKO2SAP

Ry_ayu

36

1.152226

SOKO2SAP

Ry_ay

36

1.152112

SOKO2SAP

R_ayu

22

1.145840

SOKO2SAP

R_ay

22

1.145838

SOKO2SAP

Rp_ayu

22

1.145837

SOKO2SAP

Rp_ay

22

1.145835

SOKO2SAP

Rb_ayu

22

1.145727

SOKO2SAP

Rb_ay

22

1.145726

SOKO2SAP

Ry_ayu

1

1.145568

SOKO2SAP

Ry_ay

1

1.145360

SOKO2SAP

R_ayu

27

1.144509

SOKO2SAP

R_ay

27

1.144505

SOKO2SAP

Rp_ayu

27

1.144109

SOKO2SAP

Rp_ay

27

1.144106

SOKO2SAP

Rb_ayu

27

1.137862

SOKO2SAP

Rb_ay

27

1.137857

SOKO2SAP

R_ayu

10

1.133587

SOKO2SAP

Rp_ayu

10

1.133587

SOKO2SAP

R_ay

10

1.133587

SOKO2SAP

Rp_ay

10

1.133587

SOKO2SAP

R_ay

3

1.133328

SOKO2SAP

Rp_ay

3

1.133328

SOKO2SAP

Rp_ayu

3

1.133328

SOKO2SAP

R_ayu

3

1.133328

SOKO2SAP

Rb_ay

3

1.132732

SOKO2SAP

Rb_ayu

3

1.132732

SOKO2SAP

Rb_ayu

10

1.132401

SOKO2SAP

Rb_ay

10

1.132401

SOKO2SAP

Rp_ayg

5

1.132002

SOKO2SAP

Rb_ayg

5

1.131825

SOKO2SAP

Rb_ayu

15

1.131505

SOKO2SAP

Rb_ay

15

1.131504

SOKO2SAP

R_ayg

5

1.131153

SOKO2SAP

R_ayu

15

1.130218

SOKO2SAP

Rp_ayu

15

1.130218

SOKO2SAP

R_ay

15

1.130217

SOKO2SAP

Rp_ay

15

1.130217

SOKO2SAP

Rp_ayg

2

1.123790

SOKO2SAP

R_ayg

2

1.123315

SOKO2SAP

Rb_ayg

2

1.121415

SOKO2SAP

Ry_ayu

9

1.118917

SOKO2SAP

Ry_ay

9

1.118901

SOKO2SAP

Ro_ayu

9

1.116558

SOKO2SAP

Ro_ayg

19

1.115402

SOKO2SAP

Ry_ayu

13

1.111200

SOKO2SAP

Ry_ay

13

1.110598

SOKO2SAP

R_ayu

5

1.110384

SOKO2SAP

R_ay

5

1.110384

SOKO2SAP

Rp_ayu

5

1.110384

SOKO2SAP

Rp_ay

5

1.110384

SSEI

tau_prigui_pre

1.279649

SSEI

lambda_H

1.220953

SSEI

Ry_ayu

23

1.137400

SSEI

Ry_ay

23

1.127210

SSEO

Ry_ayu

45

1.287497

SSEO

Ry_ay

45

1.287424

SSEO

tau_prigui_pre

1.286981

SSEO

Rd_ayu

45

1.286725

SSEO

Rd_ay

45

1.286617

SSEO

Ry_ayu

44

1.241210

SSEO

Ry_ay

44

1.240042

SSEO

Rd_ayu

44

1.239596

SSEO

Rd_ay

44

1.238246

SSEO

Ry_ayu

47

1.237846

SSEO

Ry_ay

47

1.237846

SSEO

R_ayu

47

1.237846

SSEO

R_ay

47

1.237846

SSEO

Rd_ayu

47

1.237837

SSEO

Rd_ay

47

1.237837

SSEO

Rs_ayu

26

1.189932

SSEO

Rdnye_ayg

4

1.124667

SSEO

Ro_ayg

4

1.119945

SSEO

Ts_ayu

26

1.111209

WKMA

tau_prigui_pre

1.254353

WKMA

Ry_ayu

1

1.139987

WKMA

Ry_ayu

35

1.128231

WKMA

Ry_ay

35

1.118485

afognak

p_black

37

1

1.298700

afognak

Rb_ayg

37

1.297917

afognak

Hb_ayg

37

1.297616

afognak

Rp_ayu

4

1.260987

afognak

tau_prigui_pre

1.260604

afognak

Ry_ayg

13

1.259694

afognak

R_ayu

4

1.259396

afognak

Rb_ayu

4

1.256396

afognak

re_black

37

1

1.248671

afognak

Rb_ayg

11

1.212138

afognak

Rb_ay

11

1.198806

afognak

Rp_ayu

14

1.196093

afognak

Rp_ayg

11

1.189547

afognak

R_ayg

11

1.189546

afognak

R_ayu

14

1.182508

afognak

Ro_ayg

12

1.180535

afognak

Rb_ayu

14

1.173100

afognak

Rp_ay

11

1.168526

afognak

R_ay

11

1.167776

afognak

Ry_ay

13

1.164635

afognak

Ro_ay

12

1.136299

afognak

Hb_ay

37

1.134044

afognak

Ry_ay

15

1.126870

afognak

Ry_ayu

15

1.125191

afognak

Rb_ayu

3

1.124394

afognak

Rb_ayu

12

1.122760

afognak

Rp_ayu

3

1.121993

afognak

Rp_ay

4

1.118915

afognak

R_ayu

3

1.116885

afognak

R_ay

4

1.115136

eastside

Rb_ayu

11

1.289642

eastside

Rp_ayu

11

1.289624

eastside

Rb_ay

11

1.288270

eastside

Rp_ay

11

1.288134

eastside

tau_prigui_pre

1.287736

eastside

Ro_ayu

8

1.286594

eastside

Ro_ay

8

1.286489

eastside

R_ayu

8

1.286082

eastside

R_ay

8

1.285394

eastside

Rb_ayu

4

1.284293

eastside

Rp_ayu

4

1.284130

eastside

Rp_ayu

5

1.282357

eastside

Rb_ayu

5

1.281280

eastside

R_ayu

11

1.280956

eastside

R_ay

11

1.280775

eastside

Rp_ay

5

1.279187

eastside

Ro_ayu

11

1.278605

eastside

Ro_ay

11

1.278458

eastside

Rb_ay

5

1.278219

eastside

Ro_ayu

3

1.272190

eastside

R_ayu

3

1.271763

eastside

Ro_ay

3

1.271186

eastside

R_ay

3

1.270132

eastside

Rb_ay

4

1.268505

eastside

Rp_ay

4

1.267527

eastside

Rp_ayu

7

1.267207

eastside

Ro_ayu

12

1.265335

eastside

Ro_ay

12

1.264819

eastside

Rb_ayu

7

1.263520

eastside

R_ayu

12

1.261583

eastside

Rb_ayu

9

1.261402

eastside

Rp_ay

7

1.260083

eastside

Rp_ayu

9

1.259432

eastside

R_ay

12

1.258673

eastside

Rb_ay

7

1.256008

eastside

Rp_ayu

3

1.253165

eastside

Rb_ayu

3

1.252300

eastside

Rb_ay

9

1.243326

eastside

Rp_ay

9

1.240090

eastside

Ro_ayu

4

1.235958

eastside

Ro_ayu

20

1.235695

eastside

Ro_ay

20

1.234876

eastside

Ro_ay

4

1.234588

eastside

Ry_ayu

16

1.234190

eastside

R_ayu

20

1.233019

eastside

Rp_ayu

14

1.230250

eastside

Rb_ayu

14

1.229941

eastside

Ho_ayu

12

1.227211

eastside

R_ay

20

1.226911

eastside

Rb_ayg

2

1.225666

eastside

Rp_ayu

17

1.220721

eastside

Rp_ayg

2

1.220400

eastside

Rb_ayu

17

1.220301

eastside

Rb_ay

3

1.217992

eastside

Rp_ay

3

1.216421

eastside

R_ayg

2

1.215109

eastside

R_ayu

4

1.209356

eastside

Rb_ay

14

1.208757

eastside

Rp_ay

14

1.206969

eastside

Rb_ayg

4

1.204756

eastside

Ro_ayu

2

1.202250

eastside

Rp_ayg

4

1.201675

eastside

Ro_ay

2

1.200284

eastside

Ry_ayu

13

1.199848

eastside

R_ay

4

1.196488

eastside

R_ayg

4

1.195707

eastside

Ry_ayu

14

1.190247

eastside

R_ayu

2

1.189742

eastside

Ro_ayg

7

1.182174

eastside

Rb_ay

2

1.178331

eastside

Ry_ayu

35

1.178250

eastside

Ro_ayu

17

1.176820

eastside

Ro_ay

17

1.176683

eastside

Rb_ayg

6

1.176584

eastside

R_ayu

17

1.175677

eastside

Ry_ay

35

1.174910

eastside

Rp_ay

2

1.173689

eastside

R_ay

17

1.172834

eastside

beta4_yellow

1.171921

eastside

Rb_ayg

7

1.170646

eastside

Rp_ayg

7

1.170060

eastside

Ry_ayu

21

1.168152

eastside

Rp_ayg

6

1.168151

eastside

R_ayg

7

1.167772

eastside

R_ayg

6

1.157940

eastside

Rb_ayg

8

1.155631

eastside

R_ay

2

1.151944

eastside

Rp_ayg

8

1.151261

eastside

Rb_ayu

6

1.148341

eastside

Ro_ay

10

1.147841

eastside

Ro_ayu

10

1.147788

eastside

Rp_ayu

6

1.147433

eastside

Ro_ayu

16

1.146239

eastside

Ro_ay

16

1.145726

eastside

Rb_ay

6

1.145534

eastside

R_ayu

10

1.144300

eastside

R_ayu

16

1.144092

eastside

R_ay

16

1.143477

eastside

Rp_ay

6

1.143143

eastside

Rb_ayg

3

1.141723

eastside

R_ay

10

1.140785

eastside

Ro_ayu

6

1.140523

eastside

Ro_ay

6

1.140339

eastside

R_ayu

6

1.140099

eastside

R_ay

6

1.138986

eastside

Rp_ayg

3

1.138692

eastside

Ry_ayu

31

1.134932

eastside

R_ayg

8

1.133718

eastside

Rb_ay

17

1.133342

eastside

Ry_ayu

39

1.128134

eastside

Rp_ay

17

1.127632

eastside

Ro_ayu

26

1.127617

eastside

Rp_ayu

20

1.126483

eastside

Ro_ay

26

1.125512

eastside

Rp_ayg

5

1.122685

eastside

Rb_ayg

5

1.121728

eastside

R_ayg

3

1.120437

eastside

Ro_ayu

1

1.119973

eastside

Rb_ayu

16

1.119921

eastside

Rb_ayu

20

1.119786

eastside

Ro_ay

1

1.119756

eastside

R_ayu

1

1.118491

eastside

R_ayu

26

1.118352

eastside

Rp_ayu

16

1.117952

eastside

Ro_ayg

20

1.117389

eastside

R_ay

26

1.117251

eastside

Rb_ay

8

1.116757

eastside

R_ay

1

1.116730

eastside

Rp_ay

8

1.115594

eastside

Ry_ayu

30

1.114807

eastside

Ro_ayu

21

1.114771

eastside

Ro_ayu

18

1.112942

eastside

Ro_ay

18

1.112885

eastside

Ry_ayu

25

1.112463

eastside

R_ayu

18

1.112445

eastside

R_ay

18

1.112221

eastside

R_ayg

5

1.111943

eastside

R_ayu

21

1.111211

northeast

Ro_ayu

7

1.283643

northeast

Rp_ay

1

1.276373

northeast

Rp_ayg

1

1.274386

northeast

Rb_ay

1

1.274043

northeast

Ro_ayu

6

1.271846

northeast

Rb_ayg

1

1.270469

northeast

Ro_ay

7

1.269324

northeast

Rp_ay

2

1.263065

northeast

Rb_ay

2

1.261768

northeast

Rb_ayu

1

1.259982

northeast

Rp_ayu

1

1.259298

northeast

Rp_ayg

2

1.256515

northeast

Ro_ayu

5

1.256295

northeast

Ro_ay

6

1.254653

northeast

Rb_ayg

2

1.251943

northeast

Rp_ayg

4

1.251275

northeast

Rp_ay

4

1.250694

northeast

Rp_ayu

6

1.249972

northeast

Rb_ayg

3

1.249926

northeast

tau_prigui_pre

1.249563

northeast

Rp_ay

5

1.249133

northeast

Rb_ayu

2

1.248752

northeast

Rp_ayg

3

1.248483

northeast

Rb_ay

5

1.247113

northeast

Rp_ayu

2

1.246653

northeast

Rb_ay

4

1.245584

northeast

Rb_ayu

6

1.244890

northeast

R_ayg

1

1.244212

northeast

Rb_ayg

4

1.244205

northeast

Rp_ay

6

1.243759

northeast

Rp_ayu

5

1.242718

northeast

Rb_ay

6

1.242227

northeast

Rb_ay

3

1.242084

northeast

Rp_ay

3

1.241957

northeast

R_ayg

4

1.240527

northeast

Ro_ayg

17

1.239812

northeast

R_ay

4

1.238568

northeast

Rb_ayg

5

1.237878

northeast

R_ay

2

1.237629

northeast

R_ayg

2

1.236821

northeast

Rp_ayg

5

1.234702

northeast

Rb_ayu

11

1.232995

northeast

Rp_ayu

11

1.232663

northeast

Rb_ayu

5

1.232284

northeast

Ro_ayu

1

1.231385

northeast

Ro_ay

5

1.226871

northeast

Rp_ay

8

1.224043

northeast

Rp_ayg

8

1.219810

northeast

R_ayg

5

1.218850

northeast

Ro_ay

17

1.218528

northeast

Rb_ay

8

1.215995

northeast

R_ay

5

1.215641

northeast

Rb_ayg

9

1.214362

northeast

Rp_ayg

9

1.213926

northeast

Rb_ayg

8

1.213203

northeast

Ro_ay

1

1.212173

northeast

Rb_ayg

6

1.211658

northeast

R_ayu

2

1.211448

northeast

Rp_ay

11

1.209733

northeast

Rp_ayg

6

1.208223

northeast

Rb_ay

11

1.208215

northeast

R_ay

8

1.208111

northeast

R_ayg

8

1.205899

northeast

Rp_ay

7

1.203521

northeast

Rp_ayu

4

1.203023

northeast

Rb_ay

7

1.202581

northeast

Ro_ayg

11

1.202466

northeast

Ro_ayg

9

1.197825

northeast

Rp_ay

9

1.193121

northeast

Rp_ay

10

1.192798

northeast

Rp_ayu

7

1.192742

northeast

Rb_ayu

4

1.192214

northeast

Rb_ay

10

1.191931

northeast

Rp_ayu

8

1.191685

northeast

Rp_ayu

3

1.189041

northeast

Rb_ay

9

1.188375

northeast

R_ayu

4

1.188117

northeast

Rb_ayg

7

1.187919

northeast

R_ayu

5

1.186957

northeast

Ro_ayu

11

1.185899

northeast

Rb_ayu

7

1.185479

northeast

Rb_ayu

3

1.183754

northeast

R_ayg

6

1.183699

northeast

Rp_ayg

7

1.183030

northeast

Rb_ayu

8

1.182757

northeast

Rp_ayg

10

1.181177

northeast

R_ay

1

1.180097

northeast

Rb_ayu

10

1.173903

northeast

R_ayu

8

1.173642

northeast

Rb_ayg

10

1.172982

northeast

Rp_ayu

10

1.168608

northeast

Rp_ay

12

1.163324

northeast

Rb_ay

13

1.162593

northeast

Ro_ayu

14

1.162433

northeast

Rp_ayg

12

1.161709

northeast

Rp_ay

13

1.161409

northeast

R_ay

6

1.159560

northeast

Ro_ayg

3

1.159181

northeast

R_ayg

7

1.157687

northeast

Ro_ayg

18

1.156777

northeast

Rb_ayg

12

1.156453

northeast

Rb_ay

12

1.154625

northeast

Rp_ayg

11

1.151957

northeast

Rp_ay

14

1.149862

northeast

R_ay

10

1.148687

northeast

R_ayg

10

1.148140

northeast

Rb_ayg

13

1.147652

northeast

Rb_ay

14

1.145338

northeast

Rp_ayg

13

1.144510

northeast

Rb_ayg

11

1.144228

northeast

R_ay

13

1.142196

northeast

Rb_ayu

14

1.140769

northeast

R_ayg

3

1.138405

northeast

Rp_ayu

14

1.137827

northeast

beta0_pH

1

1.137184

northeast

Ro_ayu

3

1.136123

northeast

Ro_ayg

12

1.134286

northeast

R_ay

12

1.134138

northeast

Rp_ayu

13

1.133849

northeast

Ro_ayg

1

1.132805

northeast

Ro_ayu

16

1.132351

northeast

R_ayg

12

1.131756

northeast

Rb_ayu

13

1.131540

northeast

R_ayu

11

1.131471

northeast

Ro_ayg

6

1.127271

northeast

beta1_pH

1

1.126709

northeast

Ro_ay

9

1.124967

northeast

R_ayg

9

1.124247

northeast

R_ayg

13

1.123619

northeast

R_ay

9

1.121620

northeast

R_ayu

6

1.120958

northeast

Ro_ayg

13

1.119919

northeast

Rp_ayu

12

1.118916

northeast

R_ay

14

1.118738

northeast

R_ayu

13

1.117309

northeast

Ro_ayg

5

1.116838

northeast

R_ayu

7

1.115449

northeast

Rb_ayg

15

1.112248

northeast

Rp_ayg

14

1.111961

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.148 0.073 -0.285 -0.150 0.001
mu_bc_H[2] -0.110 0.043 -0.186 -0.112 -0.018
mu_bc_H[3] -0.445 0.072 -0.581 -0.448 -0.297
mu_bc_H[4] -1.189 0.237 -1.695 -1.175 -0.748
mu_bc_H[5] 0.801 0.849 -0.278 0.633 3.064
mu_bc_H[6] -2.164 0.342 -2.825 -2.166 -1.462
mu_bc_H[7] -0.490 0.110 -0.713 -0.487 -0.284
mu_bc_H[8] 0.285 0.412 -0.324 0.242 1.215
mu_bc_H[9] -0.367 0.144 -0.649 -0.367 -0.077
mu_bc_H[10] -0.133 0.065 -0.260 -0.136 -0.001
mu_bc_H[11] -0.126 0.038 -0.201 -0.125 -0.053
mu_bc_H[12] -0.267 0.107 -0.497 -0.262 -0.066
mu_bc_H[13] -0.161 0.079 -0.312 -0.162 -0.004
mu_bc_H[14] -0.337 0.107 -0.559 -0.333 -0.135
mu_bc_H[15] -0.345 0.051 -0.443 -0.345 -0.245
mu_bc_H[16] -0.243 0.403 -0.943 -0.268 0.610
mu_bc_R[1] 0.139 31.711 -63.374 0.058 61.324
mu_bc_R[2] -0.485 31.946 -62.202 -0.503 57.779
mu_bc_R[3] 0.357 31.374 -59.782 0.096 62.604
mu_bc_R[4] 0.064 31.280 -61.123 -0.387 60.779
mu_bc_R[5] 0.124 32.300 -62.955 -0.295 64.601
mu_bc_R[6] -0.006 31.660 -63.772 -0.441 62.484
mu_bc_R[7] 0.439 31.326 -61.199 1.361 60.556
mu_bc_R[8] -0.949 32.463 -62.057 -0.984 63.500
mu_bc_R[9] 0.356 32.008 -61.422 0.648 63.000
mu_bc_R[10] 0.059 31.895 -63.479 0.747 60.236
mu_bc_R[11] -0.220 31.849 -60.264 0.171 62.375
mu_bc_R[12] -0.356 31.629 -63.668 0.272 60.132
mu_bc_R[13] 0.411 30.924 -60.330 0.856 60.294
mu_bc_R[14] -0.208 31.401 -60.605 0.068 62.746
mu_bc_R[15] 0.661 31.235 -59.102 0.485 61.672
mu_bc_R[16] 0.714 31.682 -60.854 1.180 61.341
tau_pH[1] 6.361 0.552 5.322 6.346 7.511
tau_pH[2] 1.807 0.209 1.424 1.799 2.239
tau_pH[3] 2.098 0.234 1.670 2.086 2.572
beta0_pH[1,1] 0.212 0.268 -0.431 0.245 0.633
beta0_pH[2,1] 0.605 0.518 -0.696 0.714 1.290
beta0_pH[3,1] 0.736 0.642 -0.812 0.869 1.574
beta0_pH[4,1] 0.797 0.615 -0.753 0.900 1.650
beta0_pH[5,1] -1.282 0.522 -2.738 -1.163 -0.689
beta0_pH[6,1] -0.934 0.567 -2.360 -0.827 -0.164
beta0_pH[7,1] 0.745 0.089 0.571 0.744 0.921
beta0_pH[8,1] -0.750 0.381 -1.761 -0.683 -0.197
beta0_pH[9,1] -1.433 0.641 -3.104 -1.303 -0.563
beta0_pH[10,1] -0.190 0.421 -0.988 -0.125 0.277
beta0_pH[11,1] -0.120 0.192 -0.506 -0.114 0.239
beta0_pH[12,1] 0.395 0.179 0.039 0.401 0.747
beta0_pH[13,1] -0.191 0.151 -0.509 -0.186 0.086
beta0_pH[14,1] -0.387 0.159 -0.707 -0.387 -0.081
beta0_pH[15,1] -0.115 0.183 -0.498 -0.108 0.217
beta0_pH[16,1] -0.233 0.171 -0.588 -0.228 0.067
beta0_pH[1,2] 2.607 0.214 2.186 2.608 3.014
beta0_pH[2,2] 2.862 0.170 2.525 2.867 3.189
beta0_pH[3,2] 3.365 0.192 2.984 3.360 3.746
beta0_pH[4,2] 3.059 0.168 2.726 3.057 3.389
beta0_pH[5,2] 4.507 1.361 2.676 4.227 7.959
beta0_pH[6,2] 3.290 0.249 2.798 3.287 3.775
beta0_pH[7,2] 1.925 0.244 1.433 1.933 2.401
beta0_pH[8,2] 2.834 0.212 2.428 2.832 3.248
beta0_pH[9,2] 3.900 0.286 3.345 3.897 4.455
beta0_pH[10,2] 3.805 0.236 3.337 3.801 4.259
beta0_pH[11,2] 1.872 0.169 1.540 1.871 2.210
beta0_pH[12,2] 1.637 0.203 1.239 1.639 2.038
beta0_pH[13,2] 2.352 0.208 1.945 2.351 2.754
beta0_pH[14,2] 1.632 0.184 1.270 1.630 2.008
beta0_pH[15,2] 2.408 0.198 2.005 2.408 2.788
beta0_pH[16,2] 2.522 0.211 2.121 2.518 2.950
beta0_pH[1,3] 0.230 0.889 -2.198 0.414 1.284
beta0_pH[2,3] 2.077 0.184 1.706 2.083 2.443
beta0_pH[3,3] 2.627 0.174 2.291 2.626 2.976
beta0_pH[4,3] 3.009 0.184 2.656 3.011 3.370
beta0_pH[5,3] 3.311 1.822 0.940 2.952 8.049
beta0_pH[6,3] 1.224 0.377 0.554 1.205 1.997
beta0_pH[7,3] 0.559 0.197 0.187 0.553 0.950
beta0_pH[8,3] 0.275 0.203 -0.113 0.276 0.669
beta0_pH[9,3] -2.334 1.101 -4.430 -2.402 -0.403
beta0_pH[10,3] -0.759 0.924 -2.852 -0.644 0.698
beta0_pH[11,3] 0.987 0.423 0.148 0.993 1.855
beta0_pH[12,3] 0.745 0.441 -0.193 0.773 1.517
beta0_pH[13,3] 0.929 0.470 -0.112 0.958 1.641
beta0_pH[14,3] 0.591 0.457 -0.395 0.623 1.399
beta0_pH[15,3] 0.771 0.420 -0.186 0.824 1.413
beta0_pH[16,3] 0.900 0.409 0.005 0.954 1.516
beta1_pH[1,1] 4.061 1.021 2.771 3.825 6.734
beta1_pH[2,1] 2.867 0.830 1.816 2.668 5.067
beta1_pH[3,1] 3.049 1.170 1.582 2.837 6.234
beta1_pH[4,1] 3.319 1.064 1.926 3.124 6.029
beta1_pH[5,1] 2.703 0.573 2.019 2.578 4.253
beta1_pH[6,1] 3.199 0.991 1.820 3.026 5.689
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 3.186 0.804 1.976 3.063 5.102
beta1_pH[9,1] 3.080 0.747 2.077 2.939 5.035
beta1_pH[10,1] 2.803 0.575 2.132 2.710 3.942
beta1_pH[11,1] 3.360 0.242 2.911 3.345 3.859
beta1_pH[12,1] 3.014 0.209 2.609 3.009 3.429
beta1_pH[13,1] 2.909 0.213 2.527 2.895 3.356
beta1_pH[14,1] 3.491 0.222 3.066 3.489 3.959
beta1_pH[15,1] 2.716 0.238 2.300 2.697 3.243
beta1_pH[16,1] 3.040 0.221 2.644 3.032 3.497
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 3.257 1.884 1.237 2.645 7.892
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 3.580 0.735 2.184 3.568 5.105
beta1_pH[9,3] 4.601 1.317 2.400 4.576 7.379
beta1_pH[10,3] 6.096 2.414 2.879 5.503 12.271
beta1_pH[11,3] 1.659 0.478 0.686 1.664 2.591
beta1_pH[12,3] 2.554 0.495 1.666 2.518 3.594
beta1_pH[13,3] 0.651 0.514 0.000 0.624 1.745
beta1_pH[14,3] 1.641 0.518 0.688 1.613 2.717
beta1_pH[15,3] 0.546 0.457 0.000 0.497 1.542
beta1_pH[16,3] 0.534 0.445 0.000 0.485 1.492
beta2_pH[1,1] 0.341 0.117 0.166 0.325 0.612
beta2_pH[2,1] 0.423 0.338 0.124 0.354 1.084
beta2_pH[3,1] 0.339 0.319 0.084 0.230 1.202
beta2_pH[4,1] 0.295 0.180 0.099 0.242 0.773
beta2_pH[5,1] 1.560 1.079 0.300 1.399 4.294
beta2_pH[6,1] 0.233 0.219 0.091 0.201 0.535
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 0.243 0.101 0.108 0.226 0.463
beta2_pH[9,1] 0.345 0.138 0.159 0.321 0.683
beta2_pH[10,1] 0.513 0.229 0.209 0.468 1.031
beta2_pH[11,1] 0.761 0.173 0.472 0.743 1.157
beta2_pH[12,1] 1.107 0.314 0.693 1.045 1.928
beta2_pH[13,1] 0.791 0.191 0.478 0.776 1.223
beta2_pH[14,1] 0.812 0.164 0.548 0.794 1.170
beta2_pH[15,1] 0.726 0.204 0.389 0.705 1.177
beta2_pH[16,1] 0.795 0.198 0.474 0.776 1.251
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 3.815 5.621 0.103 0.618 19.641
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 5.394 3.499 1.102 4.703 13.893
beta2_pH[9,3] 1.501 3.098 0.199 0.436 11.483
beta2_pH[10,3] 0.993 2.654 0.136 0.344 9.731
beta2_pH[11,3] -5.849 4.481 -17.917 -4.362 -1.420
beta2_pH[12,3] -5.849 4.481 -17.917 -4.362 -1.420
beta2_pH[13,3] -5.849 4.481 -17.917 -4.362 -1.420
beta2_pH[14,3] -5.849 4.481 -17.917 -4.362 -1.420
beta2_pH[15,3] -5.849 4.481 -17.917 -4.362 -1.420
beta2_pH[16,3] -5.849 4.481 -17.917 -4.362 -1.420
beta3_pH[1,1] 36.491 1.610 34.040 36.232 40.565
beta3_pH[2,1] 31.111 1.545 27.767 31.254 33.781
beta3_pH[3,1] 32.488 2.642 27.099 32.615 38.879
beta3_pH[4,1] 31.929 2.161 27.717 31.975 36.273
beta3_pH[5,1] 26.992 0.759 24.949 27.120 28.000
beta3_pH[6,1] 34.334 3.320 27.792 34.257 40.903
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 37.527 2.631 31.759 37.736 41.682
beta3_pH[9,1] 28.366 1.763 24.635 28.401 31.809
beta3_pH[10,1] 31.621 1.128 29.304 31.717 33.415
beta3_pH[11,1] 30.387 0.456 29.487 30.376 31.312
beta3_pH[12,1] 30.376 0.357 29.671 30.383 31.076
beta3_pH[13,1] 32.481 0.505 31.521 32.480 33.472
beta3_pH[14,1] 31.990 0.434 31.175 31.987 32.866
beta3_pH[15,1] 31.196 0.605 29.994 31.199 32.382
beta3_pH[16,1] 30.709 0.475 29.797 30.704 31.649
beta3_pH[1,2] 33.536 4.932 25.517 33.377 41.585
beta3_pH[2,2] 33.376 4.915 25.436 33.310 41.537
beta3_pH[3,2] 30.146 6.941 18.624 30.104 41.439
beta3_pH[4,2] 30.195 6.807 18.549 30.402 41.376
beta3_pH[5,2] 29.978 6.881 18.683 29.939 41.407
beta3_pH[6,2] 30.154 6.826 18.676 30.319 41.361
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 37.118 2.908 31.559 37.010 41.602
beta3_pH[2,3] 33.483 4.886 25.496 33.458 41.649
beta3_pH[3,3] 29.938 6.920 18.476 30.128 41.350
beta3_pH[4,3] 30.005 6.890 18.710 29.955 41.355
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 41.561 0.252 41.075 41.581 41.956
beta3_pH[9,3] 30.785 1.822 28.181 30.447 33.996
beta3_pH[10,3] 36.203 2.031 32.731 35.988 41.159
beta3_pH[11,3] 40.371 1.032 38.604 40.376 42.096
beta3_pH[12,3] 40.946 0.580 39.734 41.011 41.932
beta3_pH[13,3] 40.398 3.039 30.772 41.458 42.917
beta3_pH[14,3] 40.576 0.880 39.039 40.654 41.949
beta3_pH[15,3] 39.883 2.972 30.543 40.880 42.836
beta3_pH[16,3] 39.750 3.102 30.310 40.711 42.898
beta4_pH[1,1] 0.693 0.282 0.307 0.654 1.284
beta4_pH[2,1] 0.844 0.212 0.543 0.807 1.256
beta4_pH[3,1] 0.919 0.283 0.513 0.875 1.481
beta4_pH[4,1] 0.805 0.270 0.428 0.771 1.343
beta4_pH[5,1] 0.673 0.516 0.084 0.564 1.962
beta4_pH[6,1] 1.908 1.730 0.232 1.326 6.584
beta4_pH[7,1] 1.097 0.609 0.349 0.954 2.466
beta4_pH[8,1] 0.768 0.423 0.227 0.688 1.712
beta4_pH[9,1] 0.919 0.536 0.273 0.773 2.167
beta4_pH[10,1] 0.724 0.269 0.348 0.688 1.281
beta4_pH[11,1] 0.693 0.245 0.352 0.650 1.190
beta4_pH[12,1] 0.926 0.381 0.437 0.829 1.737
beta4_pH[13,1] 0.747 0.265 0.378 0.702 1.288
beta4_pH[14,1] 1.029 0.332 0.564 0.975 1.701
beta4_pH[15,1] 0.919 0.267 0.539 0.879 1.436
beta4_pH[16,1] 0.898 0.355 0.422 0.821 1.660
beta4_pH[1,2] 0.686 0.280 0.306 0.640 1.276
beta4_pH[2,2] 0.852 0.209 0.543 0.825 1.258
beta4_pH[3,2] 0.909 0.279 0.516 0.868 1.472
beta4_pH[4,2] 0.811 0.268 0.430 0.771 1.341
beta4_pH[5,2] 0.673 0.518 0.085 0.549 1.946
beta4_pH[6,2] 1.883 1.678 0.231 1.360 6.625
beta4_pH[7,2] 1.111 0.615 0.347 0.969 2.474
beta4_pH[8,2] 0.759 0.428 0.225 0.667 1.734
beta4_pH[9,2] 0.930 0.541 0.278 0.791 2.192
beta4_pH[10,2] 0.728 0.278 0.346 0.682 1.293
beta4_pH[11,2] 0.688 0.241 0.356 0.648 1.192
beta4_pH[12,2] 0.917 0.376 0.437 0.816 1.742
beta4_pH[13,2] 0.742 0.268 0.378 0.691 1.291
beta4_pH[14,2] 1.027 0.329 0.559 0.970 1.692
beta4_pH[15,2] 0.913 0.267 0.538 0.866 1.441
beta4_pH[16,2] 0.895 0.360 0.419 0.820 1.648
beta4_pH[1,3] 0.691 0.286 0.304 0.643 1.288
beta4_pH[2,3] 0.848 0.209 0.546 0.817 1.250
beta4_pH[3,3] 0.922 0.286 0.511 0.876 1.481
beta4_pH[4,3] 0.807 0.264 0.435 0.767 1.336
beta4_pH[5,3] 0.662 0.513 0.088 0.537 1.950
beta4_pH[6,3] 1.884 1.681 0.231 1.346 6.519
beta4_pH[7,3] 1.119 0.612 0.351 0.979 2.491
beta4_pH[8,3] 0.771 0.430 0.225 0.680 1.725
beta4_pH[9,3] 0.922 0.539 0.273 0.781 2.187
beta4_pH[10,3] 0.726 0.268 0.347 0.692 1.288
beta4_pH[11,3] 0.687 0.243 0.354 0.648 1.191
beta4_pH[12,3] 0.924 0.374 0.437 0.830 1.728
beta4_pH[13,3] 0.734 0.262 0.380 0.684 1.285
beta4_pH[14,3] 1.024 0.338 0.561 0.962 1.704
beta4_pH[15,3] 0.921 0.267 0.539 0.888 1.439
beta4_pH[16,3] 0.906 0.366 0.422 0.823 1.653
beta4_pH[1,4] 0.706 0.286 0.308 0.666 1.278
beta4_pH[2,4] 0.849 0.208 0.545 0.822 1.256
beta4_pH[3,4] 0.908 0.280 0.514 0.867 1.475
beta4_pH[4,4] 0.805 0.269 0.430 0.768 1.345
beta4_pH[5,4] 0.678 0.530 0.088 0.544 1.974
beta4_pH[6,4] 1.934 1.723 0.236 1.397 6.611
beta4_pH[7,4] 1.082 0.600 0.348 0.942 2.493
beta4_pH[8,4] 0.761 0.419 0.226 0.690 1.714
beta4_pH[9,4] 0.920 0.537 0.277 0.771 2.130
beta4_pH[10,4] 0.727 0.278 0.345 0.687 1.294
beta4_pH[11,4] 0.689 0.249 0.351 0.647 1.190
beta4_pH[12,4] 0.923 0.371 0.436 0.833 1.724
beta4_pH[13,4] 0.736 0.265 0.380 0.689 1.292
beta4_pH[14,4] 1.023 0.333 0.560 0.969 1.702
beta4_pH[15,4] 0.916 0.267 0.537 0.869 1.446
beta4_pH[16,4] 0.895 0.356 0.418 0.825 1.651
beta4_pH[1,5] 0.685 0.280 0.303 0.644 1.267
beta4_pH[2,5] 0.851 0.215 0.544 0.819 1.259
beta4_pH[3,5] 0.912 0.285 0.511 0.870 1.478
beta4_pH[4,5] 0.810 0.267 0.431 0.769 1.342
beta4_pH[5,5] 0.674 0.529 0.088 0.546 1.999
beta4_pH[6,5] 1.934 1.754 0.230 1.343 6.839
beta4_pH[7,5] 1.105 0.609 0.350 0.957 2.463
beta4_pH[8,5] 0.756 0.428 0.224 0.667 1.724
beta4_pH[9,5] 0.911 0.536 0.276 0.774 2.190
beta4_pH[10,5] 0.722 0.277 0.343 0.681 1.289
beta4_pH[11,5] 0.680 0.245 0.351 0.635 1.192
beta4_pH[12,5] 0.935 0.374 0.439 0.849 1.731
beta4_pH[13,5] 0.737 0.262 0.380 0.695 1.279
beta4_pH[14,5] 1.026 0.333 0.559 0.974 1.708
beta4_pH[15,5] 0.909 0.264 0.540 0.865 1.444
beta4_pH[16,5] 0.899 0.356 0.418 0.830 1.653
beta4_pH[1,6] 0.692 0.281 0.307 0.650 1.286
beta4_pH[2,6] 0.851 0.209 0.543 0.820 1.259
beta4_pH[3,6] 0.914 0.286 0.515 0.862 1.481
beta4_pH[4,6] 0.806 0.264 0.433 0.767 1.345
beta4_pH[5,6] 0.679 0.529 0.086 0.551 1.976
beta4_pH[6,6] 1.921 1.701 0.236 1.383 6.591
beta4_pH[7,6] 1.097 0.609 0.345 0.963 2.487
beta4_pH[8,6] 0.772 0.434 0.228 0.682 1.751
beta4_pH[9,6] 0.928 0.549 0.275 0.779 2.209
beta4_pH[10,6] 0.727 0.276 0.346 0.686 1.293
beta4_pH[11,6] 0.694 0.245 0.353 0.648 1.196
beta4_pH[12,6] 0.931 0.370 0.437 0.848 1.722
beta4_pH[13,6] 0.751 0.267 0.382 0.703 1.293
beta4_pH[14,6] 1.031 0.337 0.558 0.976 1.698
beta4_pH[15,6] 0.918 0.262 0.538 0.878 1.440
beta4_pH[16,6] 0.894 0.356 0.421 0.816 1.651
beta4_pH[1,7] 0.698 0.282 0.308 0.659 1.283
beta4_pH[2,7] 0.852 0.212 0.544 0.822 1.257
beta4_pH[3,7] 0.914 0.287 0.511 0.866 1.472
beta4_pH[4,7] 0.814 0.272 0.432 0.778 1.352
beta4_pH[5,7] 0.670 0.526 0.087 0.536 1.965
beta4_pH[6,7] 1.956 1.756 0.231 1.382 6.688
beta4_pH[7,7] 1.119 0.621 0.346 0.969 2.498
beta4_pH[8,7] 0.767 0.417 0.229 0.691 1.718
beta4_pH[9,7] 0.932 0.538 0.276 0.797 2.164
beta4_pH[10,7] 0.718 0.272 0.346 0.671 1.280
beta4_pH[11,7] 0.688 0.250 0.351 0.640 1.196
beta4_pH[12,7] 0.924 0.374 0.436 0.830 1.719
beta4_pH[13,7] 0.747 0.265 0.378 0.701 1.293
beta4_pH[14,7] 1.027 0.329 0.563 0.966 1.700
beta4_pH[15,7] 0.912 0.265 0.536 0.873 1.445
beta4_pH[16,7] 0.897 0.352 0.423 0.829 1.635
beta4_pH[1,8] 0.689 0.285 0.307 0.646 1.291
beta4_pH[2,8] 0.846 0.209 0.542 0.810 1.261
beta4_pH[3,8] 0.916 0.283 0.518 0.873 1.481
beta4_pH[4,8] 0.808 0.267 0.431 0.767 1.335
beta4_pH[5,8] 0.681 0.531 0.088 0.558 1.991
beta4_pH[6,8] 1.890 1.680 0.235 1.332 6.484
beta4_pH[7,8] 1.100 0.612 0.351 0.951 2.481
beta4_pH[8,8] 0.765 0.423 0.228 0.681 1.736
beta4_pH[9,8] 0.926 0.534 0.274 0.791 2.168
beta4_pH[10,8] 0.716 0.270 0.346 0.672 1.276
beta4_pH[11,8] 0.690 0.242 0.355 0.645 1.187
beta4_pH[12,8] 0.923 0.372 0.438 0.837 1.716
beta4_pH[13,8] 0.745 0.267 0.380 0.704 1.295
beta4_pH[14,8] 1.028 0.331 0.566 0.978 1.705
beta4_pH[15,8] 0.915 0.267 0.537 0.874 1.446
beta4_pH[16,8] 0.902 0.352 0.422 0.826 1.659
beta4_pH[1,9] 0.690 0.280 0.307 0.645 1.268
beta4_pH[2,9] 0.851 0.216 0.543 0.814 1.262
beta4_pH[3,9] 0.912 0.285 0.512 0.868 1.479
beta4_pH[4,9] 0.800 0.265 0.430 0.765 1.330
beta4_pH[5,9] 0.675 0.526 0.087 0.545 2.000
beta4_pH[6,9] 1.864 1.715 0.228 1.293 6.514
beta4_pH[7,9] 1.103 0.604 0.345 0.968 2.449
beta4_pH[8,9] 0.775 0.431 0.226 0.694 1.724
beta4_pH[9,9] 0.921 0.541 0.274 0.776 2.161
beta4_pH[10,9] 0.716 0.272 0.348 0.678 1.289
beta4_pH[11,9] 0.692 0.244 0.354 0.649 1.183
beta4_pH[12,9] 0.919 0.369 0.438 0.840 1.700
beta4_pH[13,9] 0.736 0.264 0.379 0.689 1.289
beta4_pH[14,9] 1.025 0.336 0.564 0.963 1.701
beta4_pH[15,9] 0.923 0.267 0.539 0.878 1.439
beta4_pH[16,9] 0.905 0.359 0.423 0.832 1.651
beta4_pH[1,10] 0.691 0.280 0.309 0.648 1.286
beta4_pH[2,10] 0.852 0.210 0.547 0.822 1.262
beta4_pH[3,10] 0.912 0.278 0.514 0.865 1.471
beta4_pH[4,10] 0.810 0.265 0.431 0.780 1.342
beta4_pH[5,10] 0.686 0.528 0.085 0.549 1.963
beta4_pH[6,10] 1.932 1.748 0.232 1.336 6.683
beta4_pH[7,10] 1.105 0.624 0.344 0.954 2.499
beta4_pH[8,10] 0.761 0.418 0.225 0.689 1.706
beta4_pH[9,10] 0.934 0.551 0.276 0.785 2.199
beta4_pH[10,10] 0.726 0.277 0.346 0.685 1.290
beta4_pH[11,10] 0.691 0.248 0.351 0.648 1.192
beta4_pH[12,10] 0.930 0.377 0.438 0.830 1.722
beta4_pH[13,10] 0.747 0.264 0.382 0.699 1.287
beta4_pH[14,10] 1.024 0.332 0.560 0.968 1.692
beta4_pH[15,10] 0.929 0.270 0.544 0.883 1.452
beta4_pH[16,10] 0.897 0.356 0.419 0.818 1.645
beta4_pH[1,11] 0.684 0.283 0.308 0.638 1.283
beta4_pH[2,11] 0.851 0.216 0.542 0.816 1.259
beta4_pH[3,11] 0.908 0.282 0.512 0.867 1.473
beta4_pH[4,11] 0.806 0.266 0.432 0.766 1.343
beta4_pH[5,11] 0.656 0.515 0.085 0.519 1.955
beta4_pH[6,11] 1.879 1.695 0.224 1.349 6.660
beta4_pH[7,11] 1.092 0.608 0.348 0.945 2.458
beta4_pH[8,11] 0.761 0.426 0.228 0.674 1.732
beta4_pH[9,11] 0.920 0.538 0.275 0.779 2.181
beta4_pH[10,11] 0.726 0.278 0.348 0.679 1.291
beta4_pH[11,11] 0.692 0.248 0.353 0.648 1.188
beta4_pH[12,11] 0.922 0.374 0.438 0.843 1.717
beta4_pH[13,11] 0.747 0.266 0.381 0.701 1.291
beta4_pH[14,11] 1.035 0.332 0.559 0.983 1.699
beta4_pH[15,11] 0.909 0.266 0.537 0.870 1.445
beta4_pH[16,11] 0.898 0.364 0.419 0.820 1.657
beta4_pH[1,12] 0.693 0.281 0.304 0.653 1.277
beta4_pH[2,12] 0.846 0.211 0.544 0.817 1.255
beta4_pH[3,12] 0.909 0.279 0.515 0.863 1.472
beta4_pH[4,12] 0.815 0.267 0.433 0.778 1.342
beta4_pH[5,12] 0.673 0.520 0.087 0.550 1.957
beta4_pH[6,12] 1.922 1.733 0.228 1.368 6.624
beta4_pH[7,12] 1.090 0.611 0.348 0.938 2.487
beta4_pH[8,12] 0.766 0.428 0.228 0.681 1.738
beta4_pH[9,12] 0.924 0.536 0.275 0.789 2.179
beta4_pH[10,12] 0.722 0.274 0.348 0.680 1.281
beta4_pH[11,12] 0.693 0.249 0.352 0.644 1.189
beta4_pH[12,12] 0.926 0.377 0.440 0.824 1.740
beta4_pH[13,12] 0.748 0.266 0.377 0.701 1.295
beta4_pH[14,12] 1.015 0.334 0.559 0.953 1.699
beta4_pH[15,12] 0.912 0.263 0.540 0.867 1.437
beta4_pH[16,12] 0.891 0.360 0.417 0.808 1.654
beta4_pH[1,13] 0.701 0.286 0.307 0.660 1.275
beta4_pH[2,13] 0.850 0.213 0.546 0.815 1.260
beta4_pH[3,13] 0.921 0.284 0.513 0.879 1.482
beta4_pH[4,13] 0.808 0.266 0.433 0.769 1.341
beta4_pH[5,13] 0.679 0.529 0.088 0.552 1.999
beta4_pH[6,13] 1.959 1.750 0.232 1.380 6.638
beta4_pH[7,13] 1.104 0.600 0.353 0.956 2.469
beta4_pH[8,13] 0.763 0.421 0.230 0.677 1.720
beta4_pH[9,13] 0.928 0.542 0.274 0.781 2.158
beta4_pH[10,13] 0.737 0.279 0.345 0.696 1.287
beta4_pH[11,13] 0.690 0.249 0.352 0.644 1.196
beta4_pH[12,13] 0.921 0.377 0.439 0.823 1.724
beta4_pH[13,13] 0.750 0.268 0.382 0.705 1.295
beta4_pH[14,13] 1.039 0.337 0.563 0.989 1.706
beta4_pH[15,13] 0.925 0.269 0.538 0.889 1.449
beta4_pH[16,13] 0.900 0.362 0.418 0.817 1.656
beta4_pH[1,14] 0.690 0.284 0.305 0.645 1.278
beta4_pH[2,14] 0.851 0.210 0.544 0.823 1.254
beta4_pH[3,14] 0.908 0.282 0.514 0.859 1.482
beta4_pH[4,14] 0.809 0.271 0.429 0.767 1.346
beta4_pH[5,14] 0.688 0.533 0.086 0.551 1.984
beta4_pH[6,14] 1.989 1.772 0.234 1.403 6.774
beta4_pH[7,14] 1.079 0.598 0.343 0.944 2.436
beta4_pH[8,14] 0.745 0.417 0.226 0.669 1.716
beta4_pH[9,14] 0.941 0.553 0.278 0.790 2.224
beta4_pH[10,14] 0.727 0.275 0.346 0.686 1.290
beta4_pH[11,14] 0.688 0.246 0.351 0.651 1.195
beta4_pH[12,14] 0.919 0.371 0.436 0.828 1.711
beta4_pH[13,14] 0.751 0.267 0.381 0.701 1.291
beta4_pH[14,14] 1.020 0.333 0.566 0.958 1.695
beta4_pH[15,14] 0.918 0.267 0.536 0.877 1.447
beta4_pH[16,14] 0.906 0.364 0.421 0.822 1.663
beta4_pH[1,15] 0.693 0.282 0.306 0.650 1.280
beta4_pH[2,15] 0.853 0.215 0.542 0.820 1.263
beta4_pH[3,15] 0.909 0.279 0.516 0.867 1.467
beta4_pH[4,15] 0.808 0.267 0.432 0.766 1.344
beta4_pH[5,15] 0.668 0.526 0.087 0.532 2.001
beta4_pH[6,15] 1.940 1.724 0.237 1.363 6.706
beta4_pH[7,15] 1.106 0.619 0.345 0.966 2.504
beta4_pH[8,15] 0.768 0.432 0.227 0.678 1.738
beta4_pH[9,15] 0.904 0.530 0.277 0.771 2.169
beta4_pH[10,15] 0.733 0.273 0.347 0.693 1.289
beta4_pH[11,15] 0.685 0.243 0.353 0.642 1.185
beta4_pH[12,15] 0.930 0.378 0.436 0.838 1.732
beta4_pH[13,15] 0.738 0.263 0.380 0.692 1.293
beta4_pH[14,15] 1.024 0.329 0.563 0.965 1.699
beta4_pH[15,15] 0.913 0.266 0.540 0.868 1.442
beta4_pH[16,15] 0.902 0.358 0.422 0.824 1.655
beta4_pH[1,16] 0.692 0.286 0.307 0.640 1.292
beta4_pH[2,16] 0.854 0.215 0.542 0.825 1.263
beta4_pH[3,16] 0.907 0.281 0.510 0.858 1.470
beta4_pH[4,16] 0.812 0.268 0.431 0.771 1.348
beta4_pH[5,16] 0.660 0.513 0.086 0.541 1.941
beta4_pH[6,16] 1.949 1.764 0.232 1.366 6.910
beta4_pH[7,16] 1.118 0.617 0.346 0.971 2.495
beta4_pH[8,16] 0.767 0.422 0.225 0.693 1.702
beta4_pH[9,16] 0.931 0.546 0.276 0.775 2.189
beta4_pH[10,16] 0.729 0.279 0.345 0.694 1.299
beta4_pH[11,16] 0.697 0.248 0.352 0.646 1.188
beta4_pH[12,16] 0.928 0.383 0.437 0.838 1.737
beta4_pH[13,16] 0.742 0.265 0.385 0.692 1.292
beta4_pH[14,16] 1.025 0.333 0.566 0.958 1.703
beta4_pH[15,16] 0.923 0.267 0.538 0.878 1.451
beta4_pH[16,16] 0.897 0.361 0.419 0.816 1.644
beta4_pH[1,17] 0.693 0.281 0.306 0.649 1.284
beta4_pH[2,17] 0.851 0.214 0.543 0.813 1.264
beta4_pH[3,17] 0.901 0.280 0.511 0.853 1.468
beta4_pH[4,17] 0.803 0.265 0.433 0.764 1.330
beta4_pH[5,17] 0.671 0.522 0.085 0.540 1.958
beta4_pH[6,17] 1.903 1.676 0.232 1.371 6.528
beta4_pH[7,17] 1.099 0.605 0.348 0.970 2.487
beta4_pH[8,17] 0.756 0.430 0.229 0.671 1.747
beta4_pH[9,17] 0.898 0.533 0.272 0.762 2.181
beta4_pH[10,17] 0.719 0.269 0.345 0.679 1.280
beta4_pH[11,17] 0.695 0.245 0.352 0.654 1.187
beta4_pH[12,17] 0.918 0.378 0.437 0.818 1.728
beta4_pH[13,17] 0.746 0.266 0.379 0.693 1.289
beta4_pH[14,17] 1.028 0.333 0.564 0.969 1.700
beta4_pH[15,17] 0.918 0.270 0.537 0.872 1.449
beta4_pH[16,17] 0.897 0.355 0.420 0.817 1.661
beta4_pH[1,18] 0.698 0.289 0.307 0.654 1.289
beta4_pH[2,18] 0.850 0.213 0.546 0.814 1.264
beta4_pH[3,18] 0.909 0.283 0.512 0.863 1.480
beta4_pH[4,18] 0.805 0.267 0.429 0.772 1.344
beta4_pH[5,18] 0.667 0.516 0.090 0.543 1.973
beta4_pH[6,18] 1.909 1.696 0.229 1.348 6.700
beta4_pH[7,18] 1.103 0.600 0.345 0.975 2.473
beta4_pH[8,18] 0.761 0.419 0.225 0.684 1.728
beta4_pH[9,18] 0.912 0.539 0.268 0.773 2.170
beta4_pH[10,18] 0.725 0.273 0.345 0.685 1.281
beta4_pH[11,18] 0.688 0.246 0.352 0.647 1.190
beta4_pH[12,18] 0.927 0.383 0.435 0.826 1.734
beta4_pH[13,18] 0.744 0.261 0.382 0.694 1.281
beta4_pH[14,18] 1.040 0.334 0.566 0.977 1.704
beta4_pH[15,18] 0.917 0.269 0.537 0.875 1.442
beta4_pH[16,18] 0.903 0.355 0.422 0.831 1.661
beta4_pH[1,19] 0.697 0.286 0.305 0.654 1.285
beta4_pH[2,19] 0.849 0.211 0.546 0.818 1.260
beta4_pH[3,19] 0.899 0.279 0.513 0.849 1.465
beta4_pH[4,19] 0.803 0.261 0.432 0.769 1.341
beta4_pH[5,19] 0.681 0.525 0.087 0.545 1.973
beta4_pH[6,19] 1.894 1.710 0.229 1.322 6.706
beta4_pH[7,19] 1.099 0.605 0.352 0.968 2.470
beta4_pH[8,19] 0.753 0.424 0.226 0.667 1.731
beta4_pH[9,19] 0.930 0.545 0.275 0.789 2.189
beta4_pH[10,19] 0.725 0.275 0.344 0.686 1.284
beta4_pH[11,19] 0.685 0.247 0.351 0.640 1.192
beta4_pH[12,19] 0.919 0.376 0.439 0.830 1.730
beta4_pH[13,19] 0.751 0.265 0.381 0.705 1.294
beta4_pH[14,19] 1.028 0.332 0.565 0.971 1.711
beta4_pH[15,19] 0.918 0.268 0.541 0.875 1.443
beta4_pH[16,19] 0.891 0.356 0.417 0.820 1.646
beta4_pH[1,20] 0.683 0.281 0.306 0.640 1.275
beta4_pH[2,20] 0.853 0.211 0.542 0.820 1.253
beta4_pH[3,20] 0.914 0.284 0.512 0.869 1.473
beta4_pH[4,20] 0.806 0.270 0.430 0.765 1.347
beta4_pH[5,20] 0.681 0.523 0.089 0.552 1.959
beta4_pH[6,20] 1.924 1.714 0.227 1.376 6.630
beta4_pH[7,20] 1.112 0.621 0.351 0.965 2.517
beta4_pH[8,20] 0.762 0.416 0.227 0.691 1.712
beta4_pH[9,20] 0.929 0.539 0.274 0.796 2.184
beta4_pH[10,20] 0.726 0.274 0.346 0.685 1.288
beta4_pH[11,20] 0.681 0.247 0.353 0.636 1.191
beta4_pH[12,20] 0.925 0.380 0.436 0.828 1.729
beta4_pH[13,20] 0.747 0.262 0.384 0.700 1.293
beta4_pH[14,20] 1.032 0.339 0.560 0.972 1.703
beta4_pH[15,20] 0.920 0.266 0.535 0.879 1.441
beta4_pH[16,20] 0.891 0.352 0.423 0.819 1.642
beta4_pH[1,21] 0.679 0.281 0.304 0.633 1.279
beta4_pH[2,21] 0.854 0.215 0.544 0.822 1.262
beta4_pH[3,21] 0.914 0.282 0.513 0.868 1.478
beta4_pH[4,21] 0.804 0.266 0.428 0.769 1.344
beta4_pH[5,21] 0.673 0.514 0.088 0.564 1.960
beta4_pH[6,21] 1.978 1.767 0.227 1.386 6.705
beta4_pH[7,21] 1.078 0.610 0.343 0.929 2.482
beta4_pH[8,21] 0.765 0.422 0.229 0.681 1.717
beta4_pH[9,21] 0.899 0.535 0.272 0.757 2.170
beta4_pH[10,21] 0.720 0.271 0.345 0.682 1.278
beta4_pH[11,21] 0.687 0.243 0.352 0.644 1.192
beta4_pH[12,21] 0.923 0.371 0.439 0.830 1.715
beta4_pH[13,21] 0.746 0.265 0.379 0.698 1.286
beta4_pH[14,21] 1.027 0.337 0.558 0.976 1.705
beta4_pH[15,21] 0.908 0.266 0.538 0.867 1.440
beta4_pH[16,21] 0.900 0.360 0.417 0.827 1.662
beta4_pH[1,22] 0.682 0.280 0.305 0.636 1.273
beta4_pH[2,22] 0.850 0.212 0.543 0.820 1.261
beta4_pH[3,22] 0.912 0.280 0.513 0.867 1.471
beta4_pH[4,22] 0.804 0.267 0.430 0.760 1.335
beta4_pH[5,22] 0.688 0.530 0.088 0.566 1.998
beta4_pH[6,22] 1.944 1.763 0.228 1.357 6.777
beta4_pH[7,22] 1.093 0.595 0.349 0.965 2.460
beta4_pH[8,22] 0.760 0.423 0.227 0.676 1.717
beta4_pH[9,22] 0.927 0.545 0.277 0.784 2.191
beta4_pH[10,22] 0.724 0.273 0.346 0.692 1.282
beta4_pH[11,22] 0.692 0.244 0.352 0.647 1.189
beta4_pH[12,22] 0.938 0.374 0.440 0.859 1.718
beta4_pH[13,22] 0.751 0.264 0.381 0.702 1.295
beta4_pH[14,22] 1.028 0.333 0.563 0.969 1.709
beta4_pH[15,22] 0.924 0.271 0.537 0.878 1.454
beta4_pH[16,22] 0.902 0.361 0.418 0.827 1.659
beta4_pH[1,23] 0.687 0.286 0.305 0.647 1.286
beta4_pH[2,23] 0.846 0.211 0.543 0.816 1.259
beta4_pH[3,23] 0.897 0.280 0.514 0.852 1.462
beta4_pH[4,23] 0.806 0.266 0.429 0.768 1.345
beta4_pH[5,23] 0.678 0.525 0.086 0.543 1.967
beta4_pH[6,23] 1.864 1.680 0.229 1.308 6.624
beta4_pH[7,23] 1.133 0.612 0.350 0.998 2.492
beta4_pH[8,23] 0.761 0.420 0.227 0.674 1.706
beta4_pH[9,23] 0.936 0.542 0.275 0.793 2.175
beta4_pH[10,23] 0.731 0.275 0.347 0.692 1.293
beta4_pH[11,23] 0.685 0.241 0.354 0.646 1.177
beta4_pH[12,23] 0.933 0.381 0.434 0.836 1.739
beta4_pH[13,23] 0.749 0.271 0.380 0.699 1.298
beta4_pH[14,23] 1.035 0.337 0.562 0.972 1.695
beta4_pH[15,23] 0.918 0.264 0.537 0.875 1.437
beta4_pH[16,23] 0.899 0.359 0.420 0.824 1.654
beta4_pH[1,24] 0.693 0.284 0.305 0.650 1.275
beta4_pH[2,24] 0.853 0.214 0.543 0.822 1.259
beta4_pH[3,24] 0.907 0.284 0.513 0.854 1.476
beta4_pH[4,24] 0.807 0.266 0.431 0.767 1.346
beta4_pH[5,24] 0.667 0.525 0.086 0.538 1.951
beta4_pH[6,24] 1.919 1.744 0.233 1.356 6.683
beta4_pH[7,24] 1.114 0.616 0.349 0.971 2.485
beta4_pH[8,24] 0.763 0.426 0.227 0.679 1.732
beta4_pH[9,24] 0.914 0.545 0.275 0.774 2.205
beta4_pH[10,24] 0.725 0.278 0.346 0.686 1.296
beta4_pH[11,24] 0.688 0.245 0.352 0.642 1.193
beta4_pH[12,24] 0.932 0.374 0.439 0.837 1.732
beta4_pH[13,24] 0.741 0.265 0.379 0.693 1.279
beta4_pH[14,24] 1.024 0.332 0.561 0.973 1.690
beta4_pH[15,24] 0.911 0.264 0.537 0.870 1.439
beta4_pH[16,24] 0.903 0.356 0.425 0.823 1.652
beta4_pH[1,25] 0.696 0.285 0.305 0.648 1.289
beta4_pH[2,25] 0.843 0.211 0.546 0.810 1.259
beta4_pH[3,25] 0.924 0.280 0.515 0.889 1.469
beta4_pH[4,25] 0.804 0.264 0.431 0.767 1.342
beta4_pH[5,25] 0.678 0.527 0.086 0.551 1.995
beta4_pH[6,25] 1.904 1.716 0.235 1.342 6.561
beta4_pH[7,25] 1.090 0.613 0.345 0.939 2.490
beta4_pH[8,25] 0.767 0.426 0.224 0.690 1.750
beta4_pH[9,25] 0.918 0.536 0.277 0.783 2.174
beta4_pH[10,25] 0.722 0.275 0.346 0.684 1.287
beta4_pH[11,25] 0.683 0.246 0.350 0.640 1.188
beta4_pH[12,25] 0.927 0.380 0.438 0.825 1.734
beta4_pH[13,25] 0.744 0.261 0.382 0.695 1.288
beta4_pH[14,25] 1.039 0.332 0.565 0.983 1.699
beta4_pH[15,25] 0.916 0.264 0.540 0.873 1.440
beta4_pH[16,25] 0.903 0.359 0.418 0.830 1.651
beta4_pH[1,26] 0.692 0.286 0.307 0.640 1.297
beta4_pH[2,26] 0.849 0.210 0.543 0.817 1.255
beta4_pH[3,26] 0.915 0.283 0.516 0.868 1.476
beta4_pH[4,26] 0.806 0.265 0.431 0.772 1.346
beta4_pH[5,26] 0.668 0.525 0.084 0.544 1.985
beta4_pH[6,26] 2.010 1.791 0.232 1.414 6.733
beta4_pH[7,26] 1.085 0.603 0.349 0.958 2.489
beta4_pH[8,26] 0.756 0.422 0.222 0.670 1.721
beta4_pH[9,26] 0.934 0.546 0.277 0.788 2.183
beta4_pH[10,26] 0.719 0.273 0.345 0.683 1.281
beta4_pH[11,26] 0.693 0.248 0.352 0.647 1.194
beta4_pH[12,26] 0.916 0.374 0.440 0.812 1.713
beta4_pH[13,26] 0.742 0.264 0.380 0.693 1.294
beta4_pH[14,26] 1.018 0.329 0.558 0.965 1.687
beta4_pH[15,26] 0.920 0.267 0.537 0.883 1.441
beta4_pH[16,26] 0.904 0.356 0.421 0.833 1.652
beta4_pH[1,27] 0.700 0.287 0.305 0.661 1.290
beta4_pH[2,27] 0.854 0.213 0.542 0.822 1.260
beta4_pH[3,27] 0.908 0.281 0.514 0.860 1.473
beta4_pH[4,27] 0.814 0.268 0.432 0.773 1.350
beta4_pH[5,27] 0.677 0.519 0.088 0.545 1.980
beta4_pH[6,27] 1.957 1.726 0.227 1.403 6.645
beta4_pH[7,27] 1.111 0.620 0.346 0.975 2.503
beta4_pH[8,27] 0.756 0.422 0.226 0.676 1.737
beta4_pH[9,27] 0.937 0.543 0.276 0.791 2.196
beta4_pH[10,27] 0.723 0.272 0.345 0.693 1.286
beta4_pH[11,27] 0.689 0.243 0.350 0.654 1.180
beta4_pH[12,27] 0.930 0.375 0.440 0.840 1.727
beta4_pH[13,27] 0.736 0.261 0.382 0.692 1.286
beta4_pH[14,27] 1.033 0.333 0.565 0.976 1.699
beta4_pH[15,27] 0.914 0.268 0.535 0.874 1.441
beta4_pH[16,27] 0.888 0.356 0.419 0.810 1.647
beta4_pH[1,28] 0.683 0.280 0.303 0.640 1.277
beta4_pH[2,28] 0.858 0.212 0.542 0.830 1.260
beta4_pH[3,28] 0.916 0.282 0.515 0.870 1.470
beta4_pH[4,28] 0.805 0.268 0.432 0.766 1.347
beta4_pH[5,28] 0.666 0.519 0.087 0.541 1.984
beta4_pH[6,28] 1.913 1.722 0.232 1.354 6.667
beta4_pH[7,28] 1.086 0.598 0.348 0.947 2.455
beta4_pH[8,28] 0.757 0.424 0.224 0.676 1.723
beta4_pH[9,28] 0.926 0.552 0.277 0.781 2.192
beta4_pH[10,28] 0.731 0.278 0.346 0.689 1.285
beta4_pH[11,28] 0.688 0.243 0.351 0.645 1.188
beta4_pH[12,28] 0.930 0.370 0.440 0.840 1.711
beta4_pH[13,28] 0.752 0.268 0.381 0.702 1.297
beta4_pH[14,28] 1.024 0.334 0.561 0.968 1.697
beta4_pH[15,28] 0.922 0.269 0.539 0.880 1.442
beta4_pH[16,28] 0.887 0.356 0.420 0.811 1.661
beta4_pH[1,29] 0.688 0.282 0.305 0.645 1.279
beta4_pH[2,29] 0.850 0.210 0.545 0.815 1.255
beta4_pH[3,29] 0.913 0.281 0.516 0.867 1.476
beta4_pH[4,29] 0.812 0.268 0.431 0.780 1.343
beta4_pH[5,29] 0.663 0.516 0.087 0.535 1.993
beta4_pH[6,29] 1.923 1.702 0.226 1.355 6.564
beta4_pH[7,29] 1.097 0.606 0.348 0.951 2.500
beta4_pH[8,29] 0.757 0.430 0.223 0.665 1.738
beta4_pH[9,29] 0.931 0.540 0.276 0.793 2.190
beta4_pH[10,29] 0.717 0.272 0.344 0.673 1.291
beta4_pH[11,29] 0.688 0.246 0.352 0.642 1.189
beta4_pH[12,29] 0.932 0.376 0.438 0.843 1.733
beta4_pH[13,29] 0.748 0.268 0.379 0.696 1.296
beta4_pH[14,29] 1.036 0.339 0.561 0.968 1.705
beta4_pH[15,29] 0.921 0.268 0.536 0.886 1.439
beta4_pH[16,29] 0.903 0.358 0.422 0.822 1.658
beta4_pH[1,30] 0.702 0.285 0.308 0.660 1.285
beta4_pH[2,30] 0.853 0.214 0.543 0.821 1.256
beta4_pH[3,30] 0.918 0.285 0.513 0.869 1.476
beta4_pH[4,30] 0.810 0.269 0.432 0.768 1.339
beta4_pH[5,30] 0.654 0.512 0.087 0.519 1.942
beta4_pH[6,30] 1.965 1.753 0.233 1.392 6.664
beta4_pH[7,30] 1.105 0.616 0.347 0.952 2.516
beta4_pH[8,30] 0.768 0.426 0.225 0.685 1.733
beta4_pH[9,30] 0.918 0.541 0.273 0.778 2.190
beta4_pH[10,30] 0.731 0.274 0.347 0.691 1.290
beta4_pH[11,30] 0.688 0.246 0.351 0.641 1.190
beta4_pH[12,30] 0.921 0.379 0.438 0.825 1.729
beta4_pH[13,30] 0.749 0.266 0.381 0.705 1.286
beta4_pH[14,30] 1.036 0.338 0.562 0.987 1.710
beta4_pH[15,30] 0.903 0.263 0.538 0.860 1.442
beta4_pH[16,30] 0.884 0.352 0.420 0.807 1.651
beta4_pH[1,31] 0.700 0.287 0.304 0.656 1.281
beta4_pH[2,31] 0.848 0.211 0.543 0.819 1.258
beta4_pH[3,31] 0.909 0.285 0.514 0.860 1.474
beta4_pH[4,31] 0.802 0.262 0.433 0.764 1.338
beta4_pH[5,31] 0.676 0.527 0.087 0.544 1.979
beta4_pH[6,31] 1.926 1.739 0.229 1.360 6.729
beta4_pH[7,31] 1.104 0.618 0.353 0.949 2.477
beta4_pH[8,31] 0.762 0.423 0.225 0.676 1.723
beta4_pH[9,31] 0.929 0.546 0.273 0.787 2.195
beta4_pH[10,31] 0.716 0.276 0.347 0.672 1.286
beta4_pH[11,31] 0.690 0.245 0.353 0.650 1.192
beta4_pH[12,31] 0.932 0.378 0.442 0.835 1.733
beta4_pH[13,31] 0.746 0.267 0.383 0.696 1.293
beta4_pH[14,31] 1.018 0.326 0.561 0.962 1.689
beta4_pH[15,31] 0.924 0.264 0.538 0.890 1.437
beta4_pH[16,31] 0.895 0.360 0.417 0.819 1.663
beta4_pH[1,32] 0.700 0.283 0.305 0.664 1.283
beta4_pH[2,32] 0.845 0.215 0.543 0.815 1.259
beta4_pH[3,32] 0.909 0.287 0.511 0.860 1.477
beta4_pH[4,32] 0.805 0.265 0.432 0.767 1.340
beta4_pH[5,32] 0.670 0.521 0.087 0.538 1.982
beta4_pH[6,32] 1.896 1.686 0.231 1.361 6.704
beta4_pH[7,32] 1.116 0.610 0.353 0.979 2.507
beta4_pH[8,32] 0.749 0.420 0.226 0.670 1.719
beta4_pH[9,32] 0.926 0.537 0.274 0.781 2.149
beta4_pH[10,32] 0.721 0.279 0.346 0.673 1.285
beta4_pH[11,32] 0.691 0.244 0.355 0.650 1.182
beta4_pH[12,32] 0.928 0.371 0.440 0.847 1.732
beta4_pH[13,32] 0.738 0.263 0.380 0.688 1.282
beta4_pH[14,32] 1.019 0.329 0.562 0.967 1.689
beta4_pH[15,32] 0.920 0.268 0.539 0.873 1.447
beta4_pH[16,32] 0.900 0.355 0.422 0.823 1.655
beta4_pH[1,33] 0.697 0.281 0.308 0.655 1.276
beta4_pH[2,33] 0.848 0.213 0.543 0.816 1.266
beta4_pH[3,33] 0.900 0.280 0.514 0.852 1.463
beta4_pH[4,33] 0.799 0.269 0.432 0.751 1.342
beta4_pH[5,33] 0.670 0.516 0.085 0.558 1.943
beta4_pH[6,33] 1.924 1.745 0.227 1.326 6.825
beta4_pH[7,33] 1.099 0.608 0.348 0.959 2.470
beta4_pH[8,33] 0.759 0.426 0.228 0.662 1.717
beta4_pH[9,33] 0.924 0.542 0.275 0.778 2.168
beta4_pH[10,33] 0.715 0.271 0.342 0.676 1.279
beta4_pH[11,33] 0.685 0.247 0.351 0.644 1.194
beta4_pH[12,33] 0.940 0.379 0.439 0.855 1.734
beta4_pH[13,33] 0.744 0.264 0.380 0.698 1.295
beta4_pH[14,33] 1.027 0.335 0.559 0.975 1.693
beta4_pH[15,33] 0.915 0.265 0.538 0.874 1.441
beta4_pH[16,33] 0.891 0.353 0.422 0.815 1.657
beta4_pH[1,34] 0.697 0.289 0.303 0.658 1.282
beta4_pH[2,34] 0.853 0.213 0.543 0.819 1.259
beta4_pH[3,34] 0.915 0.285 0.514 0.869 1.483
beta4_pH[4,34] 0.813 0.266 0.436 0.778 1.343
beta4_pH[5,34] 0.685 0.539 0.085 0.545 2.010
beta4_pH[6,34] 1.950 1.727 0.231 1.386 6.632
beta4_pH[7,34] 1.101 0.614 0.348 0.948 2.506
beta4_pH[8,34] 0.763 0.427 0.227 0.677 1.725
beta4_pH[9,34] 0.920 0.536 0.276 0.780 2.173
beta4_pH[10,34] 0.728 0.279 0.343 0.691 1.286
beta4_pH[11,34] 0.692 0.248 0.354 0.645 1.195
beta4_pH[12,34] 0.923 0.373 0.438 0.838 1.719
beta4_pH[13,34] 0.738 0.261 0.383 0.689 1.291
beta4_pH[14,34] 1.017 0.331 0.562 0.964 1.692
beta4_pH[15,34] 0.919 0.270 0.538 0.872 1.448
beta4_pH[16,34] 0.900 0.361 0.417 0.828 1.651
beta4_pH[1,35] 0.415 0.150 0.199 0.389 0.781
beta4_pH[2,35] 0.785 0.088 0.626 0.779 0.969
beta4_pH[3,35] 1.028 0.169 0.735 1.015 1.401
beta4_pH[4,35] 0.588 0.221 0.271 0.549 1.137
beta4_pH[5,35] 0.126 0.089 0.028 0.103 0.356
beta4_pH[6,35] 0.723 0.644 0.127 0.535 2.498
beta4_pH[7,35] 2.357 1.916 0.436 1.809 7.860
beta4_pH[8,35] 0.522 0.265 0.180 0.463 1.188
beta4_pH[9,35] 0.610 0.550 0.099 0.451 2.035
beta4_pH[10,35] 0.627 0.136 0.401 0.612 0.931
beta4_pH[11,35] 0.743 0.192 0.435 0.717 1.178
beta4_pH[12,35] 1.441 0.951 0.363 1.196 3.932
beta4_pH[13,35] 0.727 0.110 0.531 0.717 0.966
beta4_pH[14,35] 0.802 0.267 0.396 0.761 1.448
beta4_pH[15,35] 0.878 0.118 0.673 0.871 1.139
beta4_pH[16,35] 0.602 0.278 0.238 0.548 1.252
beta4_pH[1,36] 0.912 0.207 0.583 0.886 1.387
beta4_pH[2,36] 0.860 0.110 0.661 0.853 1.095
beta4_pH[3,36] 0.876 0.155 0.612 0.862 1.215
beta4_pH[4,36] 0.768 0.236 0.402 0.735 1.329
beta4_pH[5,36] 0.667 0.739 0.072 0.436 2.479
beta4_pH[6,36] 6.031 4.390 0.848 4.803 17.424
beta4_pH[7,36] 1.141 0.632 0.360 1.014 2.784
beta4_pH[8,36] 0.919 0.388 0.380 0.845 1.832
beta4_pH[9,36] 0.532 0.369 0.128 0.438 1.541
beta4_pH[10,36] 0.456 0.124 0.260 0.440 0.746
beta4_pH[11,36] 0.556 0.109 0.372 0.545 0.798
beta4_pH[12,36] 0.862 0.482 0.271 0.747 2.098
beta4_pH[13,36] 0.785 0.130 0.570 0.776 1.085
beta4_pH[14,36] 1.249 0.454 0.581 1.171 2.384
beta4_pH[15,36] 0.960 0.137 0.715 0.950 1.257
beta4_pH[16,36] 1.037 0.398 0.473 0.969 2.014
beta4_pH[1,37] 0.762 0.177 0.477 0.742 1.161
beta4_pH[2,37] 0.772 0.088 0.614 0.767 0.956
beta4_pH[3,37] 0.902 0.135 0.670 0.895 1.197
beta4_pH[4,37] 0.749 0.234 0.389 0.713 1.297
beta4_pH[5,37] 1.085 1.171 0.121 0.718 4.299
beta4_pH[6,37] 2.160 2.212 0.265 1.477 8.352
beta4_pH[7,37] 1.234 0.781 0.311 1.035 3.229
beta4_pH[8,37] 0.952 0.393 0.401 0.882 1.894
beta4_pH[9,37] 1.849 2.083 0.203 1.218 7.754
beta4_pH[10,37] 0.771 0.155 0.516 0.755 1.120
beta4_pH[11,37] 0.841 0.170 0.553 0.825 1.220
beta4_pH[12,37] 0.788 0.516 0.206 0.658 2.082
beta4_pH[13,37] 0.621 0.093 0.458 0.615 0.826
beta4_pH[14,37] 1.008 0.373 0.471 0.948 1.956
beta4_pH[15,37] 0.704 0.103 0.523 0.696 0.917
beta4_pH[16,37] 0.608 0.186 0.323 0.581 1.036
beta4_pH[1,38] 0.737 0.153 0.486 0.722 1.081
beta4_pH[2,38] 0.712 0.082 0.570 0.707 0.887
beta4_pH[3,38] 0.900 0.161 0.620 0.883 1.254
beta4_pH[4,38] 0.901 0.247 0.515 0.871 1.464
beta4_pH[5,38] 0.525 0.433 0.100 0.411 1.635
beta4_pH[6,38] 1.699 2.146 0.138 0.996 7.490
beta4_pH[7,38] 0.516 0.308 0.146 0.439 1.305
beta4_pH[8,38] 0.761 0.298 0.337 0.713 1.447
beta4_pH[9,38] 1.529 1.073 0.372 1.249 4.406
beta4_pH[10,38] 0.722 0.161 0.454 0.705 1.088
beta4_pH[11,38] 0.530 0.135 0.312 0.514 0.839
beta4_pH[12,38] 0.790 0.524 0.201 0.651 2.162
beta4_pH[13,38] 0.913 0.186 0.609 0.892 1.315
beta4_pH[14,38] 1.141 0.445 0.502 1.065 2.170
beta4_pH[15,38] 0.847 0.095 0.676 0.842 1.045
beta4_pH[16,38] 0.831 0.363 0.345 0.758 1.749
beta4_pH[1,39] 0.708 0.145 0.470 0.693 1.033
beta4_pH[2,39] 0.867 0.103 0.681 0.863 1.082
beta4_pH[3,39] 0.839 0.122 0.623 0.831 1.104
beta4_pH[4,39] 0.833 0.283 0.419 0.787 1.547
beta4_pH[5,39] 1.094 1.276 0.123 0.696 4.221
beta4_pH[6,39] 0.463 0.593 0.040 0.290 1.808
beta4_pH[7,39] 1.894 1.586 0.324 1.435 6.221
beta4_pH[8,39] 1.410 0.782 0.467 1.239 3.418
beta4_pH[9,39] 1.997 1.580 0.362 1.567 6.040
beta4_pH[10,39] 0.770 0.212 0.432 0.749 1.257
beta4_pH[11,39] 0.689 0.174 0.413 0.666 1.083
beta4_pH[12,39] 0.794 0.466 0.233 0.692 1.981
beta4_pH[13,39] 0.722 0.118 0.523 0.711 0.978
beta4_pH[14,39] 0.984 0.367 0.454 0.921 1.858
beta4_pH[15,39] 0.995 0.109 0.808 0.987 1.223
beta4_pH[16,39] 0.854 0.356 0.371 0.791 1.738
beta4_pH[1,40] 0.774 0.133 0.546 0.762 1.074
beta4_pH[2,40] 0.764 0.085 0.610 0.763 0.939
beta4_pH[3,40] 0.926 0.146 0.679 0.913 1.250
beta4_pH[4,40] 0.885 0.207 0.545 0.861 1.344
beta4_pH[5,40] 0.323 0.228 0.077 0.260 0.937
beta4_pH[6,40] 2.077 2.085 0.228 1.381 7.915
beta4_pH[7,40] 1.559 1.379 0.266 1.167 5.018
beta4_pH[8,40] 0.354 0.271 0.074 0.279 1.069
beta4_pH[9,40] 0.506 0.532 0.071 0.355 1.735
beta4_pH[10,40] 0.910 0.245 0.530 0.882 1.513
beta4_pH[11,40] 0.468 0.111 0.288 0.455 0.718
beta4_pH[12,40] 0.649 0.384 0.197 0.560 1.593
beta4_pH[13,40] 0.788 0.122 0.579 0.777 1.046
beta4_pH[14,40] 0.765 0.259 0.385 0.725 1.391
beta4_pH[15,40] 0.838 0.093 0.671 0.832 1.040
beta4_pH[16,40] 1.165 0.496 0.464 1.083 2.352
beta4_pH[1,41] 0.617 0.133 0.400 0.602 0.914
beta4_pH[2,41] 0.790 0.103 0.610 0.781 1.015
beta4_pH[3,41] 0.882 0.144 0.627 0.868 1.191
beta4_pH[4,41] 0.876 0.395 0.350 0.802 1.918
beta4_pH[5,41] 1.408 0.800 0.437 1.227 3.427
beta4_pH[6,41] 3.012 3.062 0.284 1.943 11.798
beta4_pH[7,41] 0.827 0.509 0.235 0.715 2.060
beta4_pH[8,41] 1.206 0.729 0.353 1.022 3.156
beta4_pH[9,41] 0.521 0.623 0.053 0.337 2.039
beta4_pH[10,41] 0.777 0.175 0.487 0.758 1.159
beta4_pH[11,41] 0.846 0.238 0.479 0.817 1.399
beta4_pH[12,41] 0.958 0.480 0.357 0.851 2.166
beta4_pH[13,41] 0.702 0.110 0.505 0.696 0.935
beta4_pH[14,41] 1.123 0.348 0.586 1.082 1.959
beta4_pH[15,41] 0.787 0.098 0.606 0.781 0.987
beta4_pH[16,41] 0.927 0.450 0.341 0.831 2.031
beta4_pH[1,42] 0.671 0.139 0.436 0.659 0.973
beta4_pH[2,42] 0.783 0.099 0.610 0.778 0.997
beta4_pH[3,42] 0.797 0.151 0.543 0.782 1.129
beta4_pH[4,42] 0.975 0.318 0.494 0.922 1.708
beta4_pH[5,42] 1.473 1.687 0.144 0.949 6.374
beta4_pH[6,42] 0.343 0.272 0.064 0.269 1.055
beta4_pH[7,42] 0.956 0.598 0.252 0.817 2.452
beta4_pH[8,42] 0.772 0.334 0.319 0.711 1.565
beta4_pH[9,42] 0.806 0.596 0.167 0.655 2.300
beta4_pH[10,42] 0.913 0.206 0.565 0.894 1.375
beta4_pH[11,42] 0.642 0.142 0.409 0.626 0.963
beta4_pH[12,42] 0.830 0.393 0.313 0.750 1.798
beta4_pH[13,42] 0.511 0.160 0.270 0.488 0.875
beta4_pH[14,42] 0.896 0.300 0.443 0.856 1.608
beta4_pH[15,42] 0.922 0.092 0.753 0.915 1.114
beta4_pH[16,42] 0.578 0.207 0.275 0.543 1.079
beta4_pH[1,43] 0.800 0.191 0.486 0.779 1.222
beta4_pH[2,43] 0.756 0.081 0.610 0.751 0.927
beta4_pH[3,43] 0.671 0.099 0.502 0.664 0.881
beta4_pH[4,43] 0.838 0.277 0.426 0.794 1.497
beta4_pH[5,43] 1.612 0.748 0.613 1.455 3.448
beta4_pH[6,43] 1.158 0.960 0.221 0.897 3.642
beta4_pH[7,43] 0.734 0.645 0.127 0.556 2.286
beta4_pH[8,43] 0.637 0.286 0.243 0.588 1.370
beta4_pH[9,43] 1.174 1.114 0.181 0.846 3.938
beta4_pH[10,43] 0.682 0.148 0.437 0.665 1.020
beta4_pH[11,43] 0.644 0.139 0.413 0.631 0.958
beta4_pH[12,43] 0.781 0.396 0.279 0.701 1.768
beta4_pH[13,43] 0.587 0.115 0.391 0.577 0.842
beta4_pH[14,43] 1.100 0.350 0.569 1.042 1.908
beta4_pH[15,43] 0.845 0.102 0.666 0.841 1.059
beta4_pH[16,43] 1.234 0.455 0.562 1.164 2.327
beta4_pH[1,44] 0.606 0.162 0.348 0.585 0.957
beta4_pH[2,44] 0.704 0.079 0.559 0.701 0.869
beta4_pH[3,44] 0.634 0.102 0.458 0.627 0.861
beta4_pH[4,44] 0.838 0.209 0.507 0.812 1.307
beta4_pH[5,44] 1.246 0.606 0.435 1.122 2.766
beta4_pH[6,44] 1.320 1.593 0.129 0.829 5.348
beta4_pH[7,44] 1.152 0.642 0.353 1.006 2.780
beta4_pH[8,44] 0.453 0.302 0.116 0.376 1.236
beta4_pH[9,44] 1.019 0.920 0.155 0.752 3.378
beta4_pH[10,44] 0.629 0.157 0.376 0.612 0.974
beta4_pH[11,44] 0.354 0.117 0.180 0.335 0.626
beta4_pH[12,44] 0.612 0.324 0.194 0.538 1.437
beta4_pH[13,44] 0.545 0.102 0.374 0.535 0.766
beta4_pH[14,44] 0.685 0.179 0.404 0.661 1.106
beta4_pH[15,44] 0.644 0.082 0.501 0.637 0.815
beta4_pH[16,44] 0.436 0.190 0.179 0.399 0.899
beta4_pH[1,45] 0.795 0.196 0.484 0.768 1.274
beta4_pH[2,45] 0.708 0.088 0.553 0.703 0.898
beta4_pH[3,45] 0.769 0.140 0.537 0.756 1.075
beta4_pH[4,45] 0.749 0.194 0.446 0.723 1.197
beta4_pH[5,45] 1.005 1.233 0.100 0.634 4.092
beta4_pH[6,45] 1.228 1.164 0.183 0.888 4.423
beta4_pH[7,45] 0.695 0.584 0.129 0.534 2.202
beta4_pH[8,45] 1.199 0.524 0.487 1.098 2.474
beta4_pH[9,45] 0.105 0.127 0.011 0.068 0.397
beta4_pH[10,45] 0.851 0.205 0.521 0.826 1.309
beta4_pH[11,45] 0.473 0.102 0.306 0.461 0.706
beta4_pH[12,45] 0.788 0.365 0.298 0.718 1.734
beta4_pH[13,45] 0.461 0.078 0.326 0.455 0.635
beta4_pH[14,45] 0.746 0.177 0.454 0.729 1.141
beta4_pH[15,45] 0.509 0.071 0.383 0.503 0.660
beta4_pH[16,45] 0.262 0.161 0.069 0.223 0.656
beta4_pH[1,46] 0.797 0.163 0.526 0.785 1.160
beta4_pH[2,46] 0.675 0.096 0.504 0.668 0.885
beta4_pH[3,46] 0.759 0.114 0.559 0.750 1.005
beta4_pH[4,46] 0.875 0.314 0.389 0.828 1.610
beta4_pH[5,46] 1.133 0.636 0.376 0.985 2.782
beta4_pH[6,46] 1.439 1.720 0.116 0.883 6.170
beta4_pH[7,46] 1.613 1.164 0.367 1.307 4.567
beta4_pH[8,46] 1.076 0.475 0.427 0.988 2.230
beta4_pH[9,46] 1.622 1.560 0.229 1.171 5.788
beta4_pH[10,46] 0.663 0.173 0.386 0.642 1.063
beta4_pH[11,46] 0.705 0.160 0.441 0.686 1.066
beta4_pH[12,46] 1.142 0.604 0.373 1.005 2.692
beta4_pH[13,46] 0.603 0.183 0.322 0.580 1.018
beta4_pH[14,46] 0.986 0.354 0.466 0.924 1.863
beta4_pH[15,46] 0.621 0.076 0.489 0.618 0.781
beta4_pH[16,46] 0.617 0.268 0.250 0.564 1.304
beta4_pH[1,47] 0.628 0.146 0.389 0.613 0.966
beta4_pH[2,47] 0.767 0.109 0.578 0.757 1.008
beta4_pH[3,47] 0.772 0.116 0.571 0.765 1.019
beta4_pH[4,47] 0.546 0.236 0.232 0.499 1.156
beta4_pH[5,47] 0.114 0.086 0.026 0.090 0.330
beta4_pH[6,47] 0.188 0.133 0.042 0.153 0.522
beta4_pH[7,47] 0.479 0.428 0.079 0.365 1.518
beta4_pH[8,47] 0.854 0.569 0.195 0.706 2.292
beta4_pH[9,47] 0.481 0.599 0.044 0.293 2.055
beta4_pH[10,47] 0.848 0.274 0.441 0.803 1.515
beta4_pH[11,47] 0.585 0.123 0.378 0.572 0.870
beta4_pH[12,47] 1.622 0.939 0.469 1.416 4.071
beta4_pH[13,47] 0.682 0.119 0.480 0.673 0.951
beta4_pH[14,47] 0.869 0.327 0.402 0.810 1.643
beta4_pH[15,47] 0.714 0.121 0.508 0.702 0.979
beta4_pH[16,47] 0.816 0.332 0.344 0.756 1.631
beta0_pelagic[1] 2.249 0.140 1.974 2.250 2.522
beta0_pelagic[2] 1.489 0.134 1.230 1.489 1.749
beta0_pelagic[3] 0.194 0.368 -0.843 0.250 0.725
beta0_pelagic[4] 0.319 0.395 -0.750 0.353 0.945
beta0_pelagic[5] 1.433 0.211 1.016 1.432 1.835
beta0_pelagic[6] 1.364 0.155 1.065 1.368 1.671
beta0_pelagic[7] 1.514 0.149 1.215 1.515 1.806
beta0_pelagic[8] 1.748 0.143 1.469 1.746 2.025
beta0_pelagic[9] 2.656 0.169 2.327 2.657 2.993
beta0_pelagic[10] 2.533 0.138 2.259 2.534 2.803
beta0_pelagic[11] -0.420 0.317 -1.071 -0.401 0.184
beta0_pelagic[12] 1.715 0.144 1.436 1.716 1.995
beta0_pelagic[13] 0.387 0.258 -0.256 0.418 0.766
beta0_pelagic[14] -0.215 0.276 -0.888 -0.182 0.236
beta0_pelagic[15] -0.271 0.179 -0.661 -0.255 0.033
beta0_pelagic[16] -0.403 0.312 -1.084 -0.388 0.174
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.692 0.437 0.059 0.630 2.003
beta1_pelagic[4] 0.785 0.425 0.048 0.759 1.836
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.541 0.420 0.810 1.498 2.490
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 0.598 0.447 0.016 0.558 1.645
beta1_pelagic[14] 1.509 0.482 0.772 1.418 2.679
beta1_pelagic[15] 0.127 0.167 0.011 0.056 0.591
beta1_pelagic[16] 1.466 0.445 0.723 1.423 2.544
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 6.727 5.929 0.142 5.230 21.414
beta2_pelagic[4] 7.599 6.149 0.334 6.219 22.167
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 2.033 1.647 0.218 1.564 6.387
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 2.215 1.818 0.125 1.722 6.617
beta2_pelagic[14] 1.431 1.451 0.188 0.849 5.408
beta2_pelagic[15] 2.466 1.849 0.096 2.108 6.858
beta2_pelagic[16] 1.718 1.607 0.181 1.153 5.935
beta3_pelagic[1] 28.912 6.445 18.496 28.825 39.463
beta3_pelagic[2] 28.967 6.270 18.614 28.767 39.470
beta3_pelagic[3] 28.138 3.815 20.788 28.314 36.545
beta3_pelagic[4] 25.803 2.854 20.899 25.887 33.982
beta3_pelagic[5] 28.860 6.408 18.603 28.795 39.449
beta3_pelagic[6] 28.838 6.368 18.557 28.859 39.436
beta3_pelagic[7] 28.853 6.379 18.495 28.734 39.457
beta3_pelagic[8] 28.973 6.317 18.581 29.016 39.426
beta3_pelagic[9] 29.067 6.344 18.552 29.175 39.362
beta3_pelagic[10] 29.016 6.408 18.529 28.998 39.484
beta3_pelagic[11] 29.626 1.487 27.060 29.577 32.660
beta3_pelagic[12] 29.048 6.374 18.563 29.233 39.508
beta3_pelagic[13] 34.475 5.022 20.114 35.895 39.815
beta3_pelagic[14] 34.250 1.978 30.760 34.214 38.739
beta3_pelagic[15] 29.697 6.731 18.577 30.343 39.703
beta3_pelagic[16] 31.230 1.824 28.066 30.959 35.958
beta0_yellow[1] -0.513 0.164 -0.836 -0.511 -0.199
beta0_yellow[2] 0.567 0.232 0.168 0.585 0.918
beta0_yellow[3] -0.149 0.210 -0.571 -0.148 0.249
beta0_yellow[4] 0.919 0.383 -0.279 0.990 1.365
beta0_yellow[5] 0.420 0.341 -0.357 0.475 0.951
beta0_yellow[6] 0.810 0.165 0.491 0.811 1.131
beta0_yellow[7] 0.918 0.165 0.615 0.911 1.259
beta0_yellow[8] 0.968 0.166 0.661 0.961 1.299
beta0_yellow[9] 0.580 0.170 0.236 0.587 0.891
beta0_yellow[10] 0.695 0.142 0.406 0.696 0.975
beta0_yellow[11] 0.192 0.173 -0.139 0.193 0.529
beta0_yellow[12] -1.122 0.180 -1.476 -1.113 -0.766
beta0_yellow[13] -0.850 0.169 -1.170 -0.853 -0.525
beta0_yellow[14] 0.015 0.175 -0.321 0.013 0.362
beta0_yellow[15] -0.795 0.171 -1.130 -0.794 -0.470
beta0_yellow[16] -0.244 0.180 -0.597 -0.247 0.107
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 1.008 0.448 0.453 0.965 1.773
beta1_yellow[3] 0.428 0.312 0.014 0.427 0.968
beta1_yellow[4] 1.292 0.766 0.448 1.120 3.885
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -7.434 5.773 -21.374 -6.142 -0.216
beta2_yellow[3] -7.735 5.854 -22.059 -6.663 -0.334
beta2_yellow[4] -6.564 6.268 -22.314 -4.957 -0.097
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 29.106 1.781 26.614 28.813 33.220
beta3_yellow[3] 32.149 4.274 20.478 32.626 39.859
beta3_yellow[4] 28.632 3.436 22.146 27.707 36.156
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[12] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[13] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[14] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[15] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[16] 25.000 0.000 25.000 25.000 25.000
beta0_black[1] -0.002 0.156 -0.302 -0.005 0.299
beta0_black[2] 1.888 0.136 1.625 1.884 2.154
beta0_black[3] 1.374 0.138 1.100 1.376 1.646
beta0_black[4] 2.489 0.142 2.211 2.488 2.768
beta0_black[5] 4.560 2.129 1.758 4.124 10.105
beta0_black[6] 4.464 2.070 2.116 3.900 10.201
beta0_black[7] 3.237 1.807 1.319 2.783 8.390
beta0_black[8] 0.918 0.244 0.447 0.914 1.423
beta0_black[9] 2.575 0.256 2.073 2.575 3.084
beta0_black[10] 1.375 0.139 1.099 1.377 1.651
beta0_black[11] 3.469 0.175 3.121 3.468 3.807
beta0_black[12] 4.847 0.194 4.464 4.845 5.215
beta0_black[13] 0.246 0.185 0.010 0.205 0.685
beta0_black[14] 2.988 0.173 2.655 2.988 3.326
beta0_black[15] 1.403 0.171 1.066 1.401 1.748
beta0_black[16] 4.241 0.178 3.896 4.241 4.596
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.499 1.721 -6.982 -2.008 -0.506
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 38.969 0.965 37.013 39.106 40.282
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.264 0.208 -0.684 -0.268 0.136
beta4_black[2] 0.274 0.188 -0.091 0.271 0.640
beta4_black[3] -1.005 0.193 -1.388 -1.001 -0.613
beta4_black[4] 0.495 0.224 0.048 0.494 0.942
beta4_black[5] 0.810 1.980 -1.194 0.445 4.689
beta4_black[6] 0.895 1.879 -0.871 0.515 5.127
beta4_black[7] 0.718 1.691 -1.042 0.390 4.415
beta4_black[8] -0.243 0.331 -0.897 -0.237 0.374
beta4_black[9] 0.996 0.861 -0.189 0.829 3.158
beta4_black[10] 0.053 0.187 -0.299 0.054 0.413
beta4_black[11] -0.717 0.233 -1.167 -0.716 -0.257
beta4_black[12] 0.420 0.344 -0.251 0.419 1.078
beta4_black[13] -1.343 0.221 -1.784 -1.346 -0.912
beta4_black[14] -0.123 0.247 -0.626 -0.127 0.360
beta4_black[15] -0.933 0.226 -1.367 -0.934 -0.492
beta4_black[16] -0.595 0.249 -1.076 -0.589 -0.122
beta0_dsr[11] 1.890 0.171 1.542 1.890 2.222
beta0_dsr[12] 4.982 0.267 4.476 4.975 5.521
beta0_dsr[13] 1.519 0.169 1.188 1.516 1.855
beta0_dsr[14] 2.616 0.184 2.254 2.613 2.987
beta0_dsr[15] 1.326 0.160 1.014 1.325 1.644
beta0_dsr[16] 2.822 0.174 2.476 2.824 3.166
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.666 0.239 0.184 0.667 1.131
beta4_dsr[12] -0.002 0.728 -1.316 -0.040 1.552
beta4_dsr[13] -0.316 0.229 -0.762 -0.320 0.131
beta4_dsr[14] 0.061 0.283 -0.509 0.058 0.607
beta4_dsr[15] 0.836 0.226 0.391 0.837 1.281
beta4_dsr[16] 0.094 0.252 -0.396 0.095 0.591
beta0_slope[11] -1.828 0.170 -2.156 -1.829 -1.491
beta0_slope[12] -4.741 0.249 -5.235 -4.739 -4.252
beta0_slope[13] -1.260 0.179 -1.610 -1.257 -0.905
beta0_slope[14] -2.628 0.184 -2.989 -2.628 -2.256
beta0_slope[15] -1.267 0.172 -1.600 -1.266 -0.921
beta0_slope[16] -2.679 0.180 -3.039 -2.678 -2.332
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.805 0.235 -1.277 -0.806 -0.350
beta4_slope[12] -1.617 0.598 -2.860 -1.604 -0.507
beta4_slope[13] 0.084 0.236 -0.378 0.087 0.540
beta4_slope[14] -0.001 0.274 -0.521 -0.003 0.535
beta4_slope[15] -0.873 0.232 -1.324 -0.871 -0.409
beta4_slope[16] -0.232 0.247 -0.700 -0.228 0.253
beta5_slope[11] 2.660 0.287 2.106 2.654 3.224
beta5_slope[12] -0.193 0.473 -1.155 -0.195 0.689
beta5_slope[13] 1.225 0.276 0.675 1.226 1.754
beta5_slope[14] 4.042 0.509 3.092 4.030 5.020
beta5_slope[15] 1.738 0.282 1.169 1.742 2.277
beta5_slope[16] 2.691 0.348 2.043 2.684 3.376
sigma_H[1] 0.195 0.056 0.093 0.193 0.315
sigma_H[2] 0.171 0.030 0.121 0.169 0.234
sigma_H[3] 0.204 0.042 0.130 0.202 0.295
sigma_H[4] 0.351 0.072 0.233 0.344 0.508
sigma_H[5] 1.019 0.238 0.565 1.009 1.485
sigma_H[6] 0.272 0.190 0.012 0.240 0.712
sigma_H[7] 0.276 0.049 0.192 0.271 0.386
sigma_H[8] 0.437 0.093 0.309 0.422 0.642
sigma_H[9] 0.397 0.076 0.279 0.386 0.572
sigma_H[10] 0.226 0.044 0.151 0.222 0.322
sigma_H[11] 0.278 0.047 0.199 0.275 0.384
sigma_H[12] 0.470 0.176 0.211 0.462 0.801
sigma_H[13] 0.208 0.037 0.143 0.206 0.290
sigma_H[14] 0.463 0.096 0.311 0.452 0.673
sigma_H[15] 0.249 0.041 0.181 0.244 0.336
sigma_H[16] 0.228 0.046 0.156 0.221 0.334
lambda_H[1] 2.892 4.116 0.154 1.558 13.570
lambda_H[2] 8.429 7.725 0.819 6.225 29.695
lambda_H[3] 7.132 10.460 0.350 3.898 33.145
lambda_H[4] 0.008 0.006 0.002 0.007 0.024
lambda_H[5] 2.783 7.620 0.013 0.368 23.508
lambda_H[6] 11.013 16.867 0.018 4.578 59.663
lambda_H[7] 0.016 0.012 0.003 0.013 0.046
lambda_H[8] 8.298 10.445 0.001 4.787 37.472
lambda_H[9] 0.021 0.015 0.003 0.017 0.059
lambda_H[10] 0.373 1.105 0.030 0.193 1.456
lambda_H[11] 0.291 0.493 0.012 0.140 1.428
lambda_H[12] 5.541 7.193 0.237 3.241 24.630
lambda_H[13] 3.690 3.331 0.289 2.763 12.354
lambda_H[14] 3.233 3.604 0.257 2.156 13.027
lambda_H[15] 0.031 0.191 0.003 0.017 0.114
lambda_H[16] 0.836 1.440 0.026 0.323 4.932
mu_lambda_H[1] 4.406 1.915 1.324 4.210 8.622
mu_lambda_H[2] 4.003 1.973 0.665 3.862 8.063
mu_lambda_H[3] 3.532 1.823 0.822 3.294 7.635
sigma_lambda_H[1] 8.678 4.289 2.095 8.135 18.365
sigma_lambda_H[2] 8.669 4.688 1.143 8.122 18.440
sigma_lambda_H[3] 6.310 3.866 1.112 5.550 15.814
beta_H[1,1] 6.821 1.086 4.333 6.977 8.521
beta_H[2,1] 9.867 0.491 8.748 9.901 10.756
beta_H[3,1] 8.014 0.730 6.353 8.108 9.238
beta_H[4,1] 12.602 7.516 -1.267 12.329 27.783
beta_H[5,1] -0.007 3.298 -7.031 0.169 6.356
beta_H[6,1] 4.345 2.744 -3.321 5.082 7.300
beta_H[7,1] 2.285 5.289 -9.486 2.586 11.803
beta_H[8,1] 3.259 9.980 -2.199 1.303 45.826
beta_H[9,1] 13.764 5.459 3.644 13.427 24.998
beta_H[10,1] 7.196 1.744 3.620 7.233 10.714
beta_H[11,1] 5.306 3.446 -2.602 6.066 9.992
beta_H[12,1] 2.605 0.975 0.884 2.548 4.821
beta_H[13,1] 8.993 0.852 7.130 9.064 10.352
beta_H[14,1] 2.147 1.036 0.008 2.155 4.112
beta_H[15,1] -5.794 3.887 -12.722 -6.063 2.578
beta_H[16,1] 4.208 3.027 -0.612 3.744 11.388
beta_H[1,2] 7.901 0.254 7.378 7.909 8.379
beta_H[2,2] 10.036 0.133 9.764 10.036 10.299
beta_H[3,2] 8.951 0.193 8.564 8.953 9.326
beta_H[4,2] 2.389 1.475 -0.499 2.392 5.235
beta_H[5,2] 1.905 1.125 -0.303 1.911 4.083
beta_H[6,2] 6.010 0.859 3.940 6.103 7.417
beta_H[7,2] 2.108 1.010 0.270 2.052 4.351
beta_H[8,2] 2.535 2.405 -7.444 3.084 4.213
beta_H[9,2] 2.836 1.000 0.869 2.830 4.783
beta_H[10,2] 8.132 0.362 7.348 8.157 8.769
beta_H[11,2] 9.734 0.621 8.825 9.611 11.164
beta_H[12,2] 3.966 0.363 3.265 3.957 4.744
beta_H[13,2] 9.133 0.234 8.701 9.129 9.612
beta_H[14,2] 4.049 0.350 3.375 4.048 4.753
beta_H[15,2] 11.307 0.695 9.854 11.329 12.620
beta_H[16,2] 4.702 0.845 3.141 4.690 6.362
beta_H[1,3] 8.552 0.257 8.085 8.540 9.058
beta_H[2,3] 10.105 0.116 9.880 10.102 10.349
beta_H[3,3] 9.652 0.161 9.354 9.651 9.991
beta_H[4,3] -0.841 1.180 -3.007 -0.896 1.669
beta_H[5,3] 4.175 0.759 2.592 4.177 5.629
beta_H[6,3] 7.490 0.918 6.253 7.274 9.995
beta_H[7,3] -2.157 0.661 -3.500 -2.146 -0.890
beta_H[8,3] 5.403 1.154 4.561 5.135 9.954
beta_H[9,3] -1.754 0.713 -3.146 -1.753 -0.371
beta_H[10,3] 8.851 0.296 8.280 8.850 9.453
beta_H[11,3] 8.560 0.281 7.943 8.580 9.053
beta_H[12,3] 5.325 0.312 4.561 5.364 5.844
beta_H[13,3] 8.941 0.177 8.590 8.944 9.295
beta_H[14,3] 5.805 0.281 5.199 5.821 6.308
beta_H[15,3] 10.399 0.326 9.782 10.400 11.038
beta_H[16,3] 5.992 0.893 4.118 6.083 7.458
beta_H[1,4] 8.298 0.180 7.909 8.308 8.624
beta_H[2,4] 10.160 0.117 9.915 10.163 10.377
beta_H[3,4] 10.153 0.158 9.808 10.166 10.431
beta_H[4,4] 11.514 0.421 10.701 11.509 12.323
beta_H[5,4] 6.063 0.996 4.448 5.932 8.202
beta_H[6,4] 7.518 0.669 5.702 7.647 8.450
beta_H[7,4] 8.139 0.319 7.518 8.141 8.761
beta_H[8,4] 6.579 0.434 5.006 6.650 7.047
beta_H[9,4] 6.906 0.378 6.162 6.901 7.677
beta_H[10,4] 7.786 0.257 7.317 7.772 8.346
beta_H[11,4] 9.387 0.204 8.990 9.383 9.774
beta_H[12,4] 7.142 0.216 6.728 7.139 7.587
beta_H[13,4] 9.068 0.142 8.791 9.071 9.345
beta_H[14,4] 7.796 0.213 7.392 7.796 8.225
beta_H[15,4] 9.460 0.239 8.998 9.463 9.928
beta_H[16,4] 9.399 0.295 8.891 9.375 10.019
beta_H[1,5] 8.980 0.149 8.674 8.984 9.270
beta_H[2,5] 10.779 0.093 10.600 10.777 10.967
beta_H[3,5] 10.888 0.164 10.602 10.878 11.232
beta_H[4,5] 8.504 0.402 7.709 8.498 9.317
beta_H[5,5] 4.983 0.858 3.045 5.153 6.269
beta_H[6,5] 8.562 0.467 7.868 8.484 9.828
beta_H[7,5] 6.836 0.303 6.258 6.828 7.445
beta_H[8,5] 8.260 0.343 7.842 8.206 9.399
beta_H[9,5] 8.369 0.388 7.560 8.367 9.113
beta_H[10,5] 10.062 0.252 9.536 10.064 10.545
beta_H[11,5] 11.501 0.233 11.039 11.499 11.958
beta_H[12,5] 8.462 0.202 8.054 8.458 8.878
beta_H[13,5] 10.004 0.129 9.752 10.003 10.265
beta_H[14,5] 9.218 0.221 8.791 9.211 9.680
beta_H[15,5] 11.163 0.246 10.680 11.168 11.652
beta_H[16,5] 9.885 0.202 9.454 9.896 10.255
beta_H[1,6] 10.184 0.191 9.848 10.167 10.595
beta_H[2,6] 11.514 0.106 11.310 11.514 11.720
beta_H[3,6] 10.822 0.157 10.500 10.830 11.102
beta_H[4,6] 12.759 0.696 11.408 12.753 14.110
beta_H[5,6] 6.066 0.759 4.751 6.029 7.754
beta_H[6,6] 8.828 0.471 7.677 8.877 9.537
beta_H[7,6] 9.798 0.504 8.835 9.794 10.786
beta_H[8,6] 9.450 0.470 7.909 9.530 9.959
beta_H[9,6] 8.322 0.648 7.108 8.310 9.659
beta_H[10,6] 9.528 0.325 8.822 9.552 10.101
beta_H[11,6] 10.823 0.357 10.025 10.856 11.448
beta_H[12,6] 9.383 0.260 8.884 9.373 9.939
beta_H[13,6] 11.046 0.160 10.749 11.040 11.393
beta_H[14,6] 9.808 0.272 9.264 9.808 10.340
beta_H[15,6] 10.841 0.424 10.011 10.855 11.689
beta_H[16,6] 10.545 0.261 9.993 10.552 11.044
beta_H[1,7] 10.857 0.887 8.669 10.958 12.317
beta_H[2,7] 12.219 0.442 11.283 12.223 13.095
beta_H[3,7] 10.591 0.631 9.146 10.641 11.655
beta_H[4,7] 2.912 3.523 -4.062 2.883 9.878
beta_H[5,7] 7.152 2.799 2.317 6.816 13.821
beta_H[6,7] 9.317 1.585 6.219 9.327 12.447
beta_H[7,7] 10.823 2.548 5.893 10.861 15.821
beta_H[8,7] 11.237 1.877 9.404 10.945 17.249
beta_H[9,7] 4.934 3.281 -1.853 4.994 11.131
beta_H[10,7] 9.794 1.484 7.129 9.690 13.059
beta_H[11,7] 11.011 1.742 7.864 10.885 15.002
beta_H[12,7] 10.095 0.875 8.147 10.149 11.605
beta_H[13,7] 11.676 0.708 10.035 11.754 12.795
beta_H[14,7] 10.343 0.884 8.531 10.389 11.952
beta_H[15,7] 11.961 2.169 7.676 11.959 16.167
beta_H[16,7] 12.317 1.398 10.056 12.098 15.484
beta0_H[1] 8.780 14.048 -19.102 8.832 36.336
beta0_H[2] 10.678 6.333 -1.883 10.600 22.996
beta0_H[3] 9.705 8.562 -8.248 9.807 26.779
beta0_H[4] 9.117 158.707 -316.406 7.246 334.318
beta0_H[5] 3.759 43.049 -80.620 4.180 94.732
beta0_H[6] 6.856 28.234 -49.319 7.626 59.528
beta0_H[7] 3.144 119.844 -243.033 3.642 233.343
beta0_H[8] 5.565 80.827 -57.069 6.446 57.212
beta0_H[9] 5.490 104.958 -203.751 2.732 216.799
beta0_H[10] 7.648 33.220 -60.414 7.980 76.561
beta0_H[11] 9.160 48.706 -91.006 9.617 115.584
beta0_H[12] 6.858 10.540 -13.660 6.758 29.225
beta0_H[13] 10.027 10.164 -9.671 9.802 29.754
beta0_H[14] 7.337 11.347 -14.070 7.149 29.369
beta0_H[15] 7.733 107.118 -205.208 7.805 214.914
beta0_H[16] 8.494 31.547 -60.624 8.431 74.269